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A dragon hoards jewels and gold in its cave. A jealous king snuck in and stole three prize jewels. The dragon burned him to a crisp and stole back its jewels, along with twice as many of the king’s crown jewels from his crown that melted in the dragon’s fire. The new jewels were a third of the number of jewels the dragon had owned before. How many jewels did the dragon own in the end?
The dragon stole 2 * 3 = <<2*3=6>>6 of the king’s crown jewels. The dragon owned 6 * 3 = <<6*3=18>>18 jewels before the theft. Thus, the dragon owned 18 + 6 = <<18+6=24>>24 jewels in the end. #### 24
Brenda volunteered to make 3 trays of banana pudding for the family reunion. Each tray of banana pudding would need 80 wafer cookies. A box of wafer cookies only had 60 cookies per box. Each box costs $3.50. How much will it cost her to buy just enough boxes for 3 trays of banana pudding?
Every tray needs 80 cookies and she's making 3 trays so 8*3 = <<80*3=240>>240 Every box of cookies has 60 cookies. She needs 240 cookies so 240/60 = <<240/60=4>>4 boxes The boxes cost $3.50 each and she needs 4 boxes so 3.50*4 = $<<3.50*4=14.00>>14.00 #### 14
Janelle had 26 green marbles. Then she bought 6 bags of blue marbles. There were 10 marbles in each bag. She created a gift of 6 green marbles and 8 blue marbles and gave it to a friend. How many marbles does Janelle have now?
Janelle has 6 bags * 10 blue marbles = <<6*10=60>>60 marbles. Janelle has a total of 26 green marbles + 60 blue marbles = <<26+60=86>>86 marbles. Janelle gave away a gift of 6 green + 8 blue marbles = <<6+8=14>>14 marbles. Janelle has a final amount of 86 marbles - 14 marbles = <<86-14=72>>72 marbles. #### 72
Mary has a mystery book library. She started with 72 mystery books at the beginning of the year. She joined a book club that sent her 1 book each month of the year. She went to a bookstore halfway through the year and bought 5 more books, then bought 2 books at yard sales later. Her daughter gave her another book for her birthday, and her mother gave her a series of 4 books when Mary visited her. She donated 12 books she didn't want to read again to a charity shop and sold 3 to a used book store. How many books did she have at the end of the year?
Mary got 1 * 12 = <<1*12=12>>12 books from the book club. She bought 5 + 2 = <<5+2=7>>7 books. She was given 1 + 4 = <<1+4=5>>5 books. She got rid of 12 + 3 = <<12+3=15>>15 books. Thus, at the end of the year she had 72 + 12 + 7 + 5 - 15 = <<72+12+7+5-15=81>>81 books. #### 81
Andy needs to drive from Salt Lake City to Los Angeles. The drive from Salt Lake City to Las Vegas is 420 miles. The drive from Las Vegas to Los Angeles is 273 miles. He wants to make the drive in 11 hours. What's the average minimum speed that Andy needs to drive to reach Los Angeles in 11 hours?
The total distance of the trip is 420 + 273 = <<420+273=693>>693 miles. To make the trip Andy must drive 693 miles / 11 hours = <<693/11=63>>63 miles per hour. #### 63
Tom decides to make lasagna with all his beef. It takes twice as many noodles as beef. He has 10 pounds of beef. He already has 4 pounds of lasagna noodles and the noodles come in 2-pound packages. How many packages does he need to buy?
He needs 10*2=<<10*2=20>>20 pounds of noodles That means he needs to buy 20-4=<<20-4=16>>16 pounds of noodles So he needs to buy 16/2=<<16/2=8>>8 packages #### 8
For the funfair, the school organizers ordered 30 rolls of tickets. Each roll of tickets has 100 tickets. The 4th graders bought 30% of the tickets while the 5th graders bought 50% of the remaining tickets. Then the 6th graders bought a total of 100 tickets. How many tickets were left unsold?
There were a total of 30 x 100 = <<30*100=3000>>3000 tickets ordered by the school organizers. The 4th graders bought 3000 x 30/100 = <<3000*30/100=900>>900 tickets. So, there were 3000 - 900 = <<3000-900=2100>>2100 tickets left for the other two grade levels. The 5th graders bought 2100 x 50/100 = <<2100*50/100=1050>>1050 tickets. So, 2100 - 1050 = <<2100-1050=1050>>1050 tickets were left then. Since 100 tickets were bought by the 6th graders, therefore 1050 - 100 = <<950=950>>950 tickets were left unsold. #### 950
Carl wants to buy a new coat that is quite expensive. He saved $25 each week for 6 weeks. On the seventh week, he had to use a third of his saving to pay some bills. On the eighth week, his dad gave him some extra money for him to buy his dream coat. If the coat cost $170, how much money did his dad give him?
Carl saved in 6 weeks $25/week x 6 weeks = $<<25*6=150>>150 On the seventh week, he ended up having to pay in bills $150/3 = $<<150/3=50>>50 His savings were then $150 - $50 = $<<150-50=100>>100 His dad gave him $170 – $100 = $<<170-100=70>>70 #### 70
Terry's mom brought home 4 different colored dogs from the shelter. The brown dog weighs 4 pounds. The black dog weighs 1 pound more than the brown dog. The white dog weighs twice as much as the brown dog. The grey dog weighs 2 pounds less than the black dog. What's the average weight of all the dogs?
Since the black dog weighs 1 pound more than the brown dog, the black dog weighs 1 + 4 = <<1+4=5>>5 pounds. The white dog weighs 4 * 2 = <<4*2=8>>8 pounds. Because the grey dog weighs 2 pounds less than the black dog, the grey dog weighs 5 - 2 = <<5-2=3>>3 pounds. The total weight of all dogs is 4 + 5 + 8 + 3 = <<4+5+8+3=20>>20 pounds. The average weight of all the dogs is 20 / 4 = <<20/4=5>>5 pounds. #### 5
Five coworkers were talking during the lunch break. Roger, the oldest one, said that he has the same amount of experience in years as all four of the others combined and that his retirement should come when he accumulates 50 years of experience. Peter said that when he came to the company his daughter was 7 years old, and now she is 19 years old. Tom then said he has twice as many years of experience as Robert. Robert said that he has 4 years of experience less than Peter but 2 more years of experience than Mike. How many more years does Roger have to work before he retires?
Peter has 19 – 7 = <<19-7=12>>12 years of experience. Robert has 12 – 4 = <<12-4=8>>8 years of experience. Mike has 8 – 2 = <<8-2=6>>6 years of experience. Tom has 2 * 8 = <<2*8=16>>16 years of experience. Roger has 12 + 8 + 6 + 16 = <<12+8+6+16=42>>42 years of experience. Roger has to work another 50 – 42 = <<50-42=8>>8 years before he retires. #### 8
Stefan, Vail, and Aiguo collected seashells. Stefan had 16 more seashells than Vail. Vail had 5 less than Aiguo. Aiguo had 20 seashells. How many seashells did the 3 children have in total?
Aiguo = <<20=20>>20 shells Vail = 20 - 5 = <<20-5=15>>15 shells Stefan = 15 + 16 = <<15+16=31>>31 shells Total = 20 + 15 + 31 = <<20+15+31=66>>66 The 3 children had 66 seashells altogether. #### 66
A store is selling mobile phones. This store contains 20 units of phones but the owner found out that there were 5 defective units. After he got rid of the defective units, he started to sell the rest of his units to customer A who bought 3 units, customer B who bought a certain amount of units, and customer C who bought 7 units. In the end, all non-defective units were sold. How many units were sold to Customer B?
There were 20 - 5 = <<20-5=15>>15 units of non-defective smartphones. There were 3 + 7 = <<3+7=10>>10 units sold to customers A and C. So, 15 - 10 = <<15-10=5>>5 units were sold to customer B. #### 5
Brianna started out with a bag of 24 marbles. She lost four marbles through a hole in the bag. Then, she gave away twice as many marbles as she had lost through the hole in the bag. Finally, her dog ate half as many marbles as Brianna had lost through the hole in the bag. How many marbles did Brianna have remaining?
Brianna gave away twice as many marbles as she had lost, or a total of 2*4=<<2*4=8>>8 marbles. Her dog ate half as many marbles as Brianna had lost through the hole in the bag, or 4/2=<<4/2=2>>2 marbles. If she started with 24 marbles, then the number of marbles remaining is 24-4-8-2=<<24-4-8-2=10>>10 marbles. #### 10
James is running a fundraiser selling candy bars. Each box has 10 candy bars in it. He sells 5 boxes. He sells each candy bar for $1.50 and buys each bar for $1. How much profit does he make from these sales?
He makes 1.5-1=$<<1.5-1=.5>>.5 from each candy bar He sells 5*10=<<5*10=50>>50 candy bars So he makes 50*.5=$<<50*.5=25>>25 #### 25
Alvin is selling his marble set. He has 100 marbles. 20% are white, 30% are black, and the rest are different colors. He sells the white ones for a nickel each, the black ones for a dime each, and the colors for $0.20 each. How much does he earn?
He has 20 white marbles because 100 x .2 = <<100*.2=20>>20 He has 30 black marbles because 100 x .3 = <<100*.3=30>>30 He has 50 color marbles because 100 - 20 - 30 = <<100-20-30=50>>50 He earns $1 from white marbles because 20 x .05 = <<20*.05=1>>1 He earns $3 from the black marbles because 30 x .1 = <<30*.1=3>>3 He earns $10 from the colors because 50 x .2 = <<50*.2=10>>10 He earns $14 in total because 1 + 3 + 10 = <<1+3+10=14>>14 #### 14
Caden has four jars of coins. One jar of pennies, one jar of nickels, one jar of dimes and one jar of quarters. He has twice as many quarters as he does dimes. He has five times as many nickels as he does dimes. He has three times as many pennies as he does nickels. If he has 120 pennies, how much money does he have?
Starting with 120 pennies he has $1.20 If he has three times as many pennies as he does nickels, he has 120 pennies / 3 nickels per penny = 40 nickels. 40 nickels = 40 * $0.05 = $<<40*0.05=2>>2 If he has five times as many nickels as dimes he has 40 nickels / 5 dimes per nickel = 8 dimes. 8 * $0.10 = $<<40/5*0.10=0.80>>0.80 if he has twice as many quarters than he does dimes, he has 8 dimes * 2 quarters per dime = 16 quarters = 16 *$ 0.25 = $<<8*2*0.25=4.00>>4.00 In all he has $1.20 + $2.00 + $0.80 + $4.00 = $<<1.20+2+0.8+4=8.00>>8.00 #### 8
Madeline wants to plant 20 flowers in her garden. She assumes that about half of the seeds she plants will die before they bloom. However, the flower shop only sells packs of seeds with 25 seeds per pack. Each pack is $5. How much will Madeline spend on seeds to plant 20 flowers?
Madeline needs to buy 2*20=<<2*20=40>>40 seeds to make sure that she will have 20 flowers. Thus, Madeline will need to buy 2 packs of flowers to have at least 40 seeds. Thus, Madeline will spend 2*5=$<<2*5=10>>10 on seeds. #### 10
There are three dogs in the backyard. They like apples, blueberries, and bonnies. The first dog, which likes apples, eats 3 times as many apples as the number of blueberries eaten by the second dog that likes blueberries. The dog that likes blueberries eats 3/4 times as many blueberries as the number of bonnies eaten by the third dog. If the dog that likes bonnies ate 60 of them, calculate the total number of fruits eaten by the three dogs?
The dog that likes blueberries ate 3/4*60 = <<3/4*60=45>>45 blueberries, 3/4 as many blueberries as the number of bonnies eaten by the third dog. The total number of fruits eaten by the dog that likes bonnies and the one that like blueberries is 45+60 = <<45+60=105>>105 The first dog that likes apples ate 3*45= <<3*45=135>>135 apples which are 3 times as many blueberries as the number eaten by the dog that likes blueberries. In total, the three dogs ate 105+135 = <<105+135=240>>240 fruits. #### 240
Mrs. Gable’s third grade class is on a field trip to the beach. For lunch, Mrs. Gable brought 20 lunches for the 20 students in her class. She included a pack of animal crackers in each lunch bag for dessert. Each pack of animal crackers contained 10 animal crackers. If 2 students did not eat their animal crackers, how many animal crackers were eaten in total among Mrs. Gable’s students?
Since 2 students did not eat their animal crackers, 20 - 2 = <<20-2=18>>18 students ate their animal crackers. The students ate a total of 18 * 10 =<<18*10=180>>180 animal crackers #### 180
Marta sells tomatoes in a grocery store. On Friday, a shipment of 1000 kg of tomatoes arrived at the store. On Saturday, Marta sold a total of 300 kg of tomatoes to customers. On Sunday, the store was closed, causing 200 kg of tomatoes to rot and to be thrown away. On Monday morning another shipment arrived, twice the size of the first one. How many kilograms of tomatoes did Marta have ready for sale on Tuesday?
Marta had 1000 kg of tomatoes on Friday and sold 300 kg on Saturday, so she has 1000 – 300 = <<1000-300=700>>700 kg of tomatoes left. On Sunday 200 kg of tomatoes had to be thrown away, so 700 – 200 = <<700-200=500>>500 kg of tomatoes were left. The shipment on Monday was twice the size of the first one, so it was 2 * 1000 = <<2*1000=2000>>2000 kg of tomatoes. The total amount of tomatoes ready for sale on Tuesday was 500 + 2000 = <<500+2000=2500>>2500 kg. #### 2500
Annie has $120. The restaurant next door sells hamburgers for $4 each. The restaurant across the street sells milkshakes for $3 each. Annie buys 8 hamburgers and 6 milkshakes. How much money, in dollars, does she have left?
Annie spends 4*8=<<4*8=32>>32 dollars on hamburgers. Annie spends 3*6=<<3*6=18>>18 dollars on milkshakes. Annie spends 32+18=<<32+18=50>>50 dollars on hamburgers and milkshakes. Annie has 120-50=<<120-50=70>>70 dollars left. #### 70
Lou Senior took 3 cookies out of the cookie jar and ate them. Since he didn't get caught by his wife, he went back the next day and took another 3 cookies out of the jar. But after eating just one of the cookies, he felt guilty about it and put the other two cookies back. His son, Louie Junior saw that his Dad was eating cookies. So, Louie Junior took seven cookies out of the jar and hid them in his bedroom for later. The next morning, Debra, Lou's wife looked into the cookie jar and reacted by accusing her husband of eating half of the cookies out of the cookie jar. How many cookies remained in the jar?
Lou Sr 3 cookies from the jar, then another three, but then put two back, for a total of 3+3-2=<<3+3-2=4>>4 cookies removed. Louie Jr took seven more out of the jar, for a total of 4+7=<<4+7=11>>11 cookies removed. If Debra thought half were gone, then the number of missing cookies would equal the number of cookies that remain, or 11 missing=11 remaining cookies #### 11
Mrs. Lopez and her family are going to the movie theatre. Adult tickets are $11. Children’s tickets (ages 3-12) are $8. Senior citizen’s tickets (ages 60+) are $9. Mrs. Lopez needs to buy movie tickets for her husband, herself, her parents (ages 72 and 75), and her three children (ages 7, 10, 14). How much money does she need to buy everyone’s tickets?
Mrs. Lopez needs to buy two adult tickets for $11 x 2 = $<<11*2=22>>22. She needs to buy two senior citizen tickets for $9 x 2 = $<<9*2=18>>18. She needs to buy three children’s tickets for $8 x 3 = $<<8*3=24>>24. For everyone’s tickets, Mrs. Lopez needs to spend $22 + $18 + $24 = $<<22+18+24=64>>64 for seven tickets. #### 64
Jill sells girl scout cookies. This year, she wants to sell at least 150 cookie boxes. Her first customer buys 5 boxes, Her second one buys 4 times more than her first customer. Her third customer buys half as much as her second. The fourth customer buys 3 times as much as her third. Lastly, her final customer buys 10. How many boxes so Jill have left to sell to hit her sales goal?
Jill's second customer buys 4 times more than her first customer's 5 boxes, so they buy 4*5=<<4*5=20>>20 boxes Jill's third customer buys half of what her second customer bought, so that means they buy 20/2= <<20/2=10>>10 boxes Jill's fourth customer buys 3 times as many as what her third customer bought, so that means they buy 10*3= <<3*10=30>>30 boxes Adding in the 5 boxes sold to the first customer, and the 10 boxes sold to the last one, that means Jill has sold 5+10+20+10+30= <<5+10+20+10+30=75>>75 boxes Since Jill's goal is 150 boxes sold, and she's only sold 75 so far, she needs to sell 150-75=<<150-75=75>>75 more boxes to hit her goal #### 75
An airplane was flying from California to Virginia. The flight started with 124 passengers. They made a layover in Texas. 58 passengers got off and 24 got on. From there, they flew to North Carolina, where 47 people got off and 14 got on, before flying to Virginia. There were also a total of 10 crew members on board for the entire flight. How many people landed in Virginia?
They started with 124 passengers. 58 got off and 24 got on so 124-58+24 = <<124-58+24=90>>90 90 people flew to NC where 47 passengers got off and 14 got on. This flight now had 90-47+14 = <<90-47+14=57>>57 There were also 10 crew members so 57+10 = 67 passengers landed in Virginia #### 67
Jason is trying to figure out whether he can afford a new car. The car he wants costs $32,000, and he can make a down payment of $8,000. He'll have to get a loan for the rest of the amount and make 48 equal monthly payments on it. Each month, he also has to pay interest equal to 5% of that month's payment. How much will Jason's monthly payments be?
First figure out how much the loan will be: $32,000 - $8,000 = $<<32000-8000=24000>>24,000 Then divide the loan amount by the number of payments to find the monthly payment before interest: $24,000 / 48 months = $<<24000/48=500>>500/month Then multiply the loan amount by 5% to find out how much the interest is: $500/month * .05 = $<<500*.05=25>>25/month Then add the interest to the payment amount to find the total monthly payment: $500/month + $25/month = $<<500+25=525>>525/month #### 525
Matthew and his brother Shawn played swimming-pool-basketball. Each basket was worth 3 points. Matthew scored 9 points. Shawn scored 6 points. What is the total number of baskets made during this game?
Matthew scored 9 points and there are 3 points per basket, so he made 9 / 3 = <<9/3=3>>3 baskets. Shawn scored 6 points, so he made 6 / 3 = <<6/3=2>>2 baskets. The total number of baskets made is 3 + 2 = <<3+2=5>>5 baskets made. #### 5
Nicole has three older sisters. After each one outgrows their clothes, they give them to Nicole. They have all outgrown their clothes and have given them all to Nicole. Nicole started with 10 pieces of clothing. Her first older sister had half as many clothes as Nicole. The next oldest sister had 2 more pieces of clothing than Nicole. The oldest had the average of what her three younger sisters had. How many pieces of clothing does Nicole end up with?
The first sister has 5 pieces of clothing because 10 / 2 = <<10/2=5>>5 The next sister had 12 pieces of clothing because 10 + 2 = <<10+2=12>>12 The three youngest sisters combined have 27 pieces because 10 + 5 + 12 = <<10+5+12=27>>27 The oldest has 9 pieces because 27 / 3 = <<27/3=9>>9 Nicole ends up with 36 pieces of clothing because 10 + 5 + 12 + 9 = <<10+5+12+9=36>>36 #### 36
Van Helsing gets paid by the town to remove all the vampires and werewolves. He gets $5 per vampire and $10 per werewolf. He removes half the vampires and removes 8 werewolves, and earned $105. There were 4 times as many werewolves as vampires. What percentage of the werewolves did he remove?
He earns $80 from werewolf removal because 8 x 10 = <<8*10=80>>80 He earned $25 from vampire removal because 105 - 80 = <<105-80=25>>25 He removed 5 vampires from town because 25 / 5 = <<25/5=5>>5 There were 10 vampires because 5 / .5 = 10 There were 40 werewolves because 4 x 10 = <<4*10=40>>40 The proportion of werewolves that he removed was .2 because 8 / 40 = <<8/40=.2>>.2 The percentage of werewolves removed was 20% because 100 x .2 = <<100*.2=20>>20 #### 20
A local farmer is paying 4 kids to help plant rows of corn. Every row of corn contains 70 ears. A bag of corn seeds contains 48 seeds and you need 2 seeds per ear of corn. He pays the kids $1.5 per row. Afterward, the kids are so hungry that they end up spending half their money on dinner. The dinner cost $36 per kid. How many bags of corn seeds did each kid use?
The dinner cost $144 dollars because 4 x 36 = <<4*36=144>>144 The kids earned $288 in total because 144 x 2 = <<144*2=288>>288 They planted 192 rows of corn because 288 / 1.5 = <<288/1.5=192>>192 They planted 13,440 ears of corn in total because 192 x 70 = <<192*70=13440>>13,440 They each planted 3,360 ears of corn because 13,440 / 4 = <<13440/4=3360>>3,360 They each planted 6,720 seeds because 3,360 x 2 = <<3360*2=6720>>6,720 They each used 140 bags of seeds because 6,720 / 48 = <<6720/48=140>>140 #### 140
Each of the three Morales sisters owns an orange grove that has 110 trees. Each orange tree produces medium-sized oranges. At harvest time, Gabriela's grove produced 600 oranges per tree, while Alba harvested 400 per tree. Each of Maricela's trees produced 500 oranges. With such a huge harvest, the sisters are thinking of making orange juice for sale. If it takes three medium-sized oranges to make 1 cup of juice, and then they sell each cup for $4, how much money will they make?
Gabriela's grove produced 600 oranges/tree * 110 trees = <<600*110=66000>>66000 oranges Alba’s grove produced 400 oranges/tree * 110 trees = <<400*110=44000>>44000 oranges Maricela's trees produced 500 oranges/tree * 110 trees= <<500*110=55000>>55000 oranges. The Morales sisters therefore harvested a total of 66000 oranges + 44000 oranges + 55000 oranges = <<66000+44000+55000=165000>>165000 oranges The oranges will therefore yield 165000 oranges/3 oranges/cup = <<165000/3=55000>>55000 cups of juice Total sales will be 55000 cups * $4/cup = $<<55000*4=220000>>220000 #### 220000
Toby wants to walk an average of 9,000 steps per day over the next week. On Sunday he walked 9,400 steps. On Monday he walked 9,100 steps. On Tuesday he walked 8,300 steps. On Wednesday he walked 9,200 steps. On Thursday he walked 8,900 steps. How many steps does he need to average on Friday and Saturday to meet his goal?
He needs to walk 63,000 steps in a week because 7 x 9,000 = <<7*9000=63000>>63,000 He has 18,100 steps to walk on Friday and Saturday because 63,000 - 9,400 - 9,100 - 8,300 - 9,200 - 8,900 = <<63000-9400-9100-8300-9200-8900=18100>>18,100 He needs to walk an average of 9,050 on Friday and Saturday because 18,100 / 2 = <<18100/2=9050>>9,050 #### 9,050
John is an eccentric millionaire. He decides to fill his swimming pool with bottled water. A cubic foot of water is 25 liters. His pool is 10 feet deep and 6 feet by 20 feet. A liter of water costs $3. How much does it cost to fill the pool?
The pool is 10*6*20=<<10*6*20=1200>>1200 cubic feet That means it is 25*1200=<<25*1200=30000>>30000 liters So it cost 3*30,000=$<<3*30000=90000>>90,000 #### 90000
John eats 3 meals a day. Breakfast is 500 calories. His lunch contains 25% more calories than that. His dinner is twice as many calories as lunch. He also has 3 shakes that are each 300 calories. How many calories does he get in a day?
Lunch is 500 * .25 = <<500*.25=125>>125 more calories than breakfast That means it is 500 + 125 = <<500+125=625>>625 calories So dinner is 625 * 2 = <<625*2=1250>>1250 calories The shakes are 3 * 300 = <<3*300=900>>900 calories So in total he eats 500 + 625 + 1250 + 900 = <<500+625+1250+900=3275>>3275 calories #### 3275
Peter needs to buy birdseed to last a week. He knows that each parakeet eats 2 grams a day. His parrots eat 14 grams a day. His finches eat half of what a parakeet eats. If he has 3 parakeets, 2 parrots and 4 finches, how many grams of birdseed does he need to buy?
His parakeets eat 6 grams a day, because three parakeets times two grams each equals 6 grams. His parrots will eat 28 grams a day because two parrots times 14 grams equals <<2*14=28>>28 grams. Each finch will eat 1 gram a day, because they eat half of what a parakeet does and 1/2 of 2 equals one. His finches will eat 4 grams a day because four finches times 1 gram equals 4 grams. His birds eat 38 grams a day because 6 plus 28 plus 4 equals <<6+28+4=38>>38 Each week has 7 days Therefore, in a week he will need 266 grams because 7 times 38 equals <<7*38=266>>266. #### 266
Mr. Zubir bought a pair of pants, a shirt, and a coat. The pair of pants and shirt costs $100. The pants and coat cost $244. The coat costs 5 times as much as the shirt. How much did Mr. Zubir pay for his coat?
Let X be the coat's price. The shirt's price is X/5. The pants and the shirt cost $100, so the pants price is $100 - X/5. The pants and coat costs ($100 - X/5) + X = $244. Combining like terms and subtracting $100 from both sides, we get 4/5*X = $144. Dividing both sides by 4/5, we get X = $180. #### 180
A chocolate box contains 200 bars. Thomas and his 4 friends take 1/4 of the bars and decide to divide them equally between them. One of Thomas's friends doesn't like chocolate bars very much and returns 5 of his bars to the box. Later, his sister Piper comes home and takes 5 fewer bars than those taken in total by Thomas and his friends so she can also share with her friends. What's the total number of bars left in the box?
Thomas and his friends took 1/4*200 = <<1/4*200=50>>50 bars. The total number of bars left in the box was 200-50 = <<200-50=150>>150 bars. Since there are five of them sharing, each of them got 50/5 = <<50/5=10>>10 bars. After a friend returned 5 bars, there were 150 + 5 = <<150+5=155>>155 bars in the box. Piper took five fewer bars, that is 50 - 5 = <<50-5=45>>45 bars. The total remaining bars left in the box is 155 - 45 = <<155-45=110>>110 bars. #### 110
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?
She made 36 cookies because 12 x 3 = <<12*3=36>>36 These contain 72 chocolate chips because 36 x 2 = <<36*2=72>>72 They each get to eat 18 chocolate chips because 72 / 4 = <<72/4=18>>18 #### 18
Layla is feeding her pet fish. She has two Goldfish which each get one teaspoon of fish food. Her 3 Swordtails each get 2 teaspoons of food. Her 8 Guppies each eat half a teaspoon of food. How much food does she have to give to her fish in total?
The two Goldfish eat a total of 2 * 1 = <<2*1=2>>2 teaspoons of food. The 3 Swordtails eat a total of 3 * 2 = <<3*2=6>>6 teaspoons of food. The 8 Guppies eat a total of 8 * 1/2 = <<8*1/2=4>>4 teaspoons of food. In total, all of her fish eat 2 + 6 + 4 = <<2+6+4=12>>12 teaspoons of fish food. #### 12
It was Trevor's job to collect fresh eggs from the family's 4 chickens every morning. He got 4 eggs from Gertrude and 3 eggs from Blanche. Nancy laid 2 eggs as did Martha. On the way, he dropped 2 eggs. How many eggs did Trevor have left?
He collected 4+3+2+2 eggs for a total of <<4+3+2+2=11>>11 eggs. He dropped 2 eggs so 11-2 = <<11-2=9>>9 eggs left #### 9
The teacher agrees to order pizza for the class. For every student in the class, she will buy 2 pieces of cheese and 1 piece of onion and they will eat exactly that amount. A large pizza has 18 slices. She orders 6 total pizzas and there are 8 pieces of cheese and 4 pieces of onion leftover. How many students are in the class?
Cheese pizzas are 2/3 of the pizza's purchased because 2 / (2+1) = 2/3 She buys 4 cheese pizzas because 6 x (2/3) = <<6*2/3=4>>4 These give her 72 pieces of cheese pizza because 4 x 18 = <<4*18=72>>72 The students at 64 pieces of cheese because 72 - 8 = <<72-8=64>>64 There are 32 students in her class because 64 / 2 = <<64/2=32>>32 #### 32
John cuts his grass to 2 inches. It grows .5 inches per month. When it gets to 4 inches he cuts it back down to 2 inches. It cost $100 to get his grass cut. How much does he pay per year?
He cuts his grass 4-2=<<4-2=2>>2 inches So he gets it cut every 2/.5=<<2/.5=4>>4 months That means he gets it cut 12/4=<<12/4=3>>3 times a year So he pays 100*3=$<<100*3=300>>300 per year #### 300
Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock alone. How long is that?
First find how long the second lock stalls them: 5 minutes * 3 - 3 minutes = <<5*3-3=12>>12 minutes Then multiply that amount by 5 to find the total time the third lock stall the raccoon: 12 minutes * 5 = <<12*5=60>>60 minutes #### 60
Vincent’s washer broke so he had to go to the laundromat. On Wednesday he washed six loads of clothes. The next day he had time to wash double the number of loads he did the day before. On Friday he had a test and could only manage half of the loads he did on Thursday. On Saturday the laundromat closed at noon and he could only wash a third of the loads of laundry he did on Wednesday. How many loads of laundry had he washed that week?
On Thursday he washed 6*2=<<6*2=12>>12 loads of laundry On Friday he washed 12/2=<<12/2=6>>6 loads of laundry On Saturday he washed 6/3=<<6/3=2>>2 loads of laundry In total he washed 6+12+6+2= <<6+12+6+2=26>>26 loads of laundry #### 26
Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has 200 calories. If he has one piece of bread, how many servings of peanut butter should he add?
He needs 400 calories worth of peanut butter because 500 - 100 = <<500-100=400>>400 He needs 2 servings of peanut butter because 400 / 200 = <<400/200=2>>2 #### 2
There are 400 students. 120 students take dance as their elective. 200 students take art as their elective. The rest take music. What percentage of students take music?
There are 400-120-200=<<400-120-200=80>>80 students in music. Thus, students in music make up (80/400)*100=<<80/400*100=20>>20% of the students. #### 20
Chandra is going on a monster hunt. After a big storm, there have been lost monsters all around the castle grounds for the last 5 days. Chandra wants to rope them all up and return them to the swamps where they will be the most comfortable. On the first day she saw 2 monsters near the castle walls. Every day after that she saw double the amount as the day before. After 5 days how many monsters does she need to lead back to the swamps?
On the first day Chandra saw 2 monsters and on day 2 she saw twice that amount, 2 x 2 = <<2+2=4>>4 monsters seen on day 2. On day 3 she saw double that amount of monsters, 4 x 2 = <<4*2=8>>8. On day 4 she saw double that amount of monsters, 8 x 2 = <<8*2=16>>16. On day 5 she saw double that amount of monsters, 16 x 2 = <<16*2=32>>32. Altogether Chandra saw 2 + 4 + 8 + 16 + 32 lost monsters = <<2+4+8+16+32=62>>62 total lost monsters that Chandra needs to lead back to the swamps. #### 62
Neil charges $5.00 to trim up each boxwood. He charges $15.00 to trim it into a fancy shape. The customer wants the entire 30 boxwood hedge trimmed up. He has also asked for 4 specific boxwoods shaped into spheres. How much will Neil charge?
He has 30 boxwoods to trim and will charge $5.00 each so he will charge 30*5 = $<<30*5=150.00>>150.00 He will shape 4 boxwoods into spheres for $15.00 each so he will charge 4*15 = $$<<4*15=60.00>>60.00 All total he will charge 150+60 = $<<150+60=210.00>>210.00 #### 210
Clara is climbing to the top of a historical tower with stone stairs. Each level has eight huge steps in the stairs. Every step is made up of three massive blocks of stone. By the time she reaches the top, she has climbed past 96 blocks of stone. How many levels are there in the tower?
Clara climbed past 96 / 3 = <<96/3=32>>32 steps made up of 3 blocks of stone each. At 8 steps per level, there are 32 / 8 = <<32/8=4>>4 levels in the tower. #### 4
Horatio is a poet composing sonnets for his lady fair. He believes it will take many of his sonnets to win her over. Each sonnet is fourteen lines long. His lady fair tells him to leave her alone after he reads her only seven sonnets, and Horatio is heartbroken over the 70 romantic lines he wrote that she never heard. How many sonnets did Horatio write in all?
Horatio never got to read 70 / 14 = <<70/14=5>>5 sonnets. He read his lady 7 sonnets, so he wrote 7 + 5 = <<7+5=12>>12 sonnets in all. #### 12
In her bakery, Teal sells pumpkin pie and custard pie by the slice. The pumpkin pie is cut into 8 pieces. The custard pie is cut into 6 pieces. Pumpkin pie is $5 a slice. Custard pie is $6 a slice. If Teal sells 4 pumpkin pies and 5 custard pies, how much money does she make from her sales?
Teal sells 8 x 4 = <<8*4=32>>32 pumpkin slices. She sells 6 x 5 = <<6*5=30>>30 custard slices. Pumpkin pie slice sales make 32 x $5 = $<<32*5=160>>160. Custard pie slice sales make 30 x $6 = $<<30*6=180>>180. Total amount of money she makes is $160 + $180 = $<<160+180=340>>340. #### 340
Dorothy, Julia, and Robert go to the store to buy school supplies. Dorothy buys half as many pens as Julia. Julia buys three times as many pens as Robert. Robert buys 4 pens. If one pen costs $1.50, how much money did the three friends spend in total on pens?
Julia buys 4 * 3 = <<4*3=12>>12 pens Dorothy buys 12/2 = <<12/2=6>>6 pens The total number of pens purchased is 4 + 12 + 6 = <<4+12+6=22>>22 pens The total cost of the pens is 22 * $1.50 = $<<22*1.5=33>>33 #### 33
Tom takes medication to help him sleep. He takes 2 pills every day before bed. He needs to go to the doctor every 6 months to get a new prescription and a visit to the doctor costs $400. The medication costs $5 per pill, but insurance covers 80% of that cost. How much does he pay a year for everything?
He sees the doctor 12/6=<<12/6=2>>2 times a year So he pays 400*2=$<<400*2=800>>800 for doctor visits The cost of the pill is 5*2=$<<5*2=10>>10 per night But insurance covers 10*.8=$<<10*.8=8>>8 So he pays 10-8=$<<10-8=2>>2 per night So he pays 2*365=$<<2*365=730>>730 a year SSo his total cost is 800+730=$<<800+730=1530>>1530 a year #### 1530
Kay has 14 siblings. Kay is 32 years old. The youngest sibling is 5 less than half Kay's age. The oldest sibling is four times as old as the youngest sibling. How old is the oldest sibling?
Kay 32 years old Youngest:32/2-5=<<32/2-5=11>>11 years old Oldest:11(4)=44 years old #### 44
Stephen rides his bicycle to church. During the first third of his trip, he travels at a speed of 16 miles per hour. During the second third of his trip, riding uphill, he travels a speed of 12 miles per hour. During the last third of his trip, he rides downhill at a speed of 20 miles per hour. If each third of his trip takes 15 minutes, what is the distance Stephen rides his bicycle to church, in miles?
15 minutes is 15/60=<<15/60=0.25>>0.25 hours. Traveling 15 minutes at 16 miles per hour, Stephen travels 16*0.25 = 4 miles. Traveling 15 minutes at 12 miles per hour, Stephen travels 12*0.25 = 3 miles. Traveling 15 minutes at 20 miles per hour, Stephen travels 20*0.25 = 5 miles. All together, Stephen travels 4+3+5=<<4+3+5=12>>12 miles. #### 12
Wade has a hot dog food truck. He makes $2.00 in tips per customer. On Friday he served 28 customers. He served three times that amount of customers on Saturday. On Sunday, he served 36 customers. How many dollars did he make in tips between the 3 days?
On Saturday, he served 3 times the amount of customers that he served on Friday, which was 28 customers so he served 3*28 = <<3*28=84>>84 customers He served 28 customers on Friday, 84 on Saturday and 36 customers on Sunday for a total of 28+84+36 = <<28+84+36=148>>148 customers Each customer tipped him $2.00 and he had 148 customers so he made 2*148 = $<<2*148=296.00>>296.00 #### 296
Raj's house has an area equal to 1,110 square feet. It has 4 bedrooms that each measure 11 x 11 feet. There are 2 bathrooms that are 6 x 8 feet each. The kitchen and living area complete the home and they have the same sized area. How many square feet is the area of the kitchen?
Area of 1 bedroom = 11 * 11 = <<11*11=121>>121 square feet Area of 4 bedrooms = 121 * 4 = <<121*4=484>>484 square feet Area of 1 bathroom = 6 * 8 = <<6*8=48>>48 square feet Area of 2 bathrooms = 2 * 48 = <<2*48=96>>96 square feet Area of all bedrooms and bathrooms = 484 + 96 = <<484+96=580>>580 square feet Kitchen + living room = 1,110 - 580 = <<1110-580=530>>530 Kitchen = 530/2 = <<530/2=265>>265 The kitchen is 265 square feet. #### 265
Jerry has an interesting novel he borrowed from a friend to read over the weekend. The book has 93 pages. On Saturday, he reads 30 pages. On Sunday, he goes to church and comes back, sits down, and reads 20 pages of the book. How many pages are remaining before Jerry can finish the book?
When Jerry reads 30 pages on Saturday, he would be remaining with 93-30 = <<93-30=63>>63 pages. After reading an additional 20 pages on Sunday, he would be remaining with 63 – 20 = <<63-20=43>>43 pages. #### 43
To keep himself busy in class, Michael makes rubber-band balls. He makes two sizes, large and small. A small ball uses 50 rubber bands. A large ball requires 300 rubber bands. Michael brought a 5,000 pack to class and already made 22 small balls. How many large balls can he make with the remaining rubber bands?
Michael has used 1,100 rubber bands because 22 x 50 = <<22*50=1100>>1,100 Michael has 3,900 rubber bands remaining because 5,000 - 1,100 = 3,900 Michael can make 13 large balls because 3,900 / 300 = <<3900/300=13>>13 #### 13
April went to a concert that has two bands. 2/3 of the audience was there for the second band and 1/3 was there for the first band. 50% of the audience there for the second band is under the age of 30. Of this group, 60% are women and there are 20 men. How many people are at the concert?
Of the under-30s there for the second band, 40% are men because 100-60 = <<100-60=40>>40 There are fifty under-30s there for the second band because 20 / .4 = <<20/.4=50>>50 There are 100 people there to see the second band because 50 / .5 = <<50/.5=100>>100 There are 150 people at the concert because 100 / (2/3) = <<100/(2/3)=150>>150 #### 150
Miranda is stuffing feather pillows. She needs two pounds of feathers for each pillow. A pound of goose feathers is approximately 300 feathers. Her goose has approximately 3600 feathers. How many pillows can she stuff after she plucks the goose?
Miranda will have 3600 / 300 = <<3600/300=12>>12 pounds of feathers from her goose. Thus, Miranda can stuff about 12 / 2 = <<12/2=6>>6 feather pillows after she plucks the goose. #### 6
Caleb is baking a birthday cake for his grandfather. His grandfather is turning 79 years old. Caleb puts three colors of candles on the cake. He puts one candle for each year for his grandfather. He puts 27 yellow candles, 14 red candles and the rest are blue candles. How many blue candles did he use?
Caleb has put 27 + 14 = <<27+14=41>>41 yellow and red candles. So, he used 79 - 41 = <<79-41=38>>38 blue candles. #### 38
There's a Bobbit worm hiding in the bottom of James' aquarium. Every day it eats 2 fish. After two weeks, James adds 8 more fish to the aquarium. A week later, he discovers the Bobbit worm. If the aquarium had 60 fish to start with, how many does it have when James discovers the Bobbit worm?
First find the total number of weeks the Bobbit worm preys on the fish: 2 weeks + 1 week = <<2+1=3>>3 weeks Then multiply that number by the number of days per week: 3 weeks * 7 days/week = 21 days Then multiply that number by the number of fish the worm eats per day to find how many fish it eats total: 21 days * 2 fish/day = <<21*2=42>>42 fish Then add the number of fish James adds to the starting number of fish to find the ending number of fish: 60 fish + 8 fish = <<60+8=68>>68 fish Then subtract the number of eaten fish to find the number of surviving fish: 68 fish - 42 fish = <<68-42=26>>26 fish #### 26
Jonah decided to set up an aquarium. He started with 14 small fish. He added 2 more, but they ate 6 of his original fish before he could remove them and take them back to the store. He exchanged them for 3 new fish. How many fish does Jonah have now?
Jonah started with 14 fish + 2 more = <<14+2=16>>16 fish. Of the 16 fish – 6 were eaten – 2 were returned to the store = 8 fish. After he returned the fish to the store, he exchanged them for 3 new fish + 8 fish that were left = <<3+8=11>>11 fish now in his tank. #### 11
Rick held a fundraiser and is figuring out who still owes money. He marked on a sheet how much everyone has promised to contribute, but he forgot to note how much some people had actually paid. Altogether, everyone has promised to contribute $400, and Rick has actually received $285. Sally, Amy, Derek, and Carl all still owe money. Sally and Carl both owe equal amounts, Amy owes $30, and Derek owes half as much as Amy. How much, in dollars, do Sally and Carl each owe?
In total, Rick is still owed 400 - 285 = $<<400-285=115>>115. Derek owes half as much as Amy, so he owes $30 / 2 = $<<30/2=15>>15. This means that Sally and Carl owe a combined total of $115 - $30 – $15 = $<<115-30-15=70>>70. As they owe equal amounts, they therefore owe $70 / 2 = $<<70/2=35>>35 each. #### 35
Anahi bought a 500 pages book to write some notes on. In the first week, she wrote on 150 pages. In the second week, she wrote on 30% of the remaining pages. While continuing writing, she accidentally spilled coffee on the book and damaged 20 percent of the empty pages she was to write on. Calculate the total number of empty pages available for her to write on now.
If she bought a 500 pages book and wrote on 150 pages, the number of empty pages remaining is 500-150 = <<500-150=350>>350 pages. She then wrote on 30% of the remaining empty pages on the second week, a total of 30/100*350 = <<30/100*350=105>>105 pages The number of remaining empty pages is 350-105 = <<350-105=245>>245 pages. When she spilled coffee on the remaining empty pages, the number of damaged pages was 20/100*245 = <<20/100*245=49>>49 The number of empty pages remaining that she could write on is 245-49 = <<245-49=196>>196 pages #### 196
Tony goes on 5 rollercoasters while he is at the park. The first went 50 miles per hour. The second went 62 miles per hour. The third when 73 miles per hour. The fourth when 70 miles per hour. His average speed during the day was 59 miles per hour. How fast was the fifth coaster?
The total speed of all five coasters is 295 because 59 x 5 = <<295=295>>295 The final coaster went 40 miles per hour because 295 - 50 - 62 - 73 - 70 = <<295-50-62-73-70=40>>40 #### 40
Brad's car broke down on an isolated road. At the time, Brad was traveling with Jim and Marcus. So, the three decided to push the car back into town, which was 10 miles away. For the first three miles, Brad steered as Jim and Marcus pushed at a speed of 6 miles per hour. Then, for the next 3 miles, Jim steered, as Brad and Marcus pushed at a speed of 3 miles per hour. For the last four miles, Marcus steered as Brad and Jim pushed at a speed of 8 miles per hour. How long did it take, in hours, to push the car back to town?
Three miles at 6 miles per hour is 3/6=1/2 hours. Then, 3 miles at 3 miles per hour is 3/3=<<3/3=1>>1 hour. The last 4 miles at 8 miles per hour is 4/8=1/2 hour. In total, it took them 1/2 + 1 + 1/2 = <<1/2+1+1/2=2>>2 hours to push the car back to town. #### 2
Monica and Sheila are twins. Their mother gave them $50 and told them to buy some toilet paper and spend the remainder on groceries. The toilet paper cost $12. They bought apples, butter, eggs, and a large ham for twice the cost of the toilet paper. Since they still had some leftover money, they called their mother and she gave them permission to buy whatever they wanted for themselves as long as they shared the money evenly. They saw some boots they really liked, but a pair of boots costs 3 times the amount they had left. How much more would Monica and Sheila each have to add of their own money to buy two pairs of boots?
The groceries cost $12 x 2 = $<<12*2=24>>24 Including the toilet paper, Monica and Sheila had already spent $12 + $24 = $<<12+24=36>>36 This means that they had $50 - $36 = $<<50-36=14>>14 left to spend on themselves. However, the boots cost $14 x 3 = $<<14*3=42>>42 per pair. Two pairs of boots would cost $42 x 2 = $<<42*2=84>>84 They need another $84 - $14 = $<<84-14=70>>70 to buy two pairs. Each of them needs to add another $70/2 = $<<70/2=35>>35 #### 35
Arthur has 3 dogs. They eat an average of 15 pounds of food a week. One dog eats 13 pounds a week. The second eats double this. How much does the third dog eat a week?
The second dog eats 26 pounds a week because 13 x 2 = <<13*2=26>>26 In total they eat 45 pounds because 3 x 15 = <<3*15=45>>45 The third dog eats 6 pounds a week because 45 - 13 - 26 = <<45-13-26=6>>6 #### 6
Jane bought pens for her three students. Each student received 62 red pens and 43 black pens. They pooled their pens together and took them from the pool whenever they needed them. After the first month, they had taken a total of 37 pens from the pool. After the second month, they had taken another 41 pens from the pool. Then Jane decided to split the remaining pens equally among them. How many pens will each student get now?
Each student got 62 + 43 = <<62+43=105>>105 pens to start with. They pooled them to get 105 * 3 = <<105*3=315>>315 pens in the pool. They took 37 pens in the first month, leaving 315 - 37 = 278 pens in the pool. They took 41 pens in the second month, leaving 278 - 41 = 237 pens in the pool. 237 pens were split into three equal parts to give 237/3 = <<237/3=79>>79 pens each. #### 79
Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box?
Let x be the number of plates removed from the box. Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or <<20*16=320>>320 ounces. Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Dividing both sides by 10 leaves 38-x = 32. Adding x to both sides gives 38 – x + x = 32 +x, or, 38 = 32 +x Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 -32 = 32 + x – 32, or, 6 = x #### 6
A jar on the family's counter contains change they've been saving a trip to the ice cream shop. There are 123 pennies, 85 nickels, 35 dimes, and a number of quarters. All five family members get a double scoop, which costs $3 each. After the trip, they have 48 cents left over. How many quarters were in the jar?
The family spent $15 on ice cream because 5 x 3 = <<5*3=15>>15 They total amount of change they had was $15.48 because 15 + .48 = <<15+.48=15.48>>15.48 They have $1.23 in pennies because 123 x .01 = <<123*.01=1.23>>1.23 They have $4.25 in nickels because 85 x .05 = <<85*.05=4.25>>4.25 They have $3.50 in dimes because 35 x .1 = <<35*.1=3.5>>3.5 Without the quarters they have a total of $8.98 because 1.23 + 4.25 + 3.5 = <<1.23+4.25+3.5=8.98>>8.98 They have $6.5 worth of quarters because 15.48-8.98 = <<15.48-8.98=6.5>>6.5 They have 26 quarters because 6.5 / .25 = <<6.5/.25=26>>26 #### 26
Barbara has 9 stuffed animals. Trish has two times as many stuffed animals as Barbara. They planned to sell their stuffed animals and donate all the money to their class funds. Barbara will sell her stuffed animals for $2 each while Trish will sell them for $1.50 each. How much money will they donate to their class funds?
Barbara will be able to sell all her stuffed animals for 9 x $2 = $<<9*2=18>>18. Trish has 9 x 2 = <<9*2=18>>18 stuffed animals. Trish will be able to sell all her stuffed animals for 18 x $1.50 = $<<18*1.5=27>>27. Therefore, they will donate a total of $18 + $27 = $<<18+27=45>>45 to their class funds. #### 45
Jefferson hires a carriage to go to the church. It is 20 miles away. The horse can go 10 miles per hour. It cost $30 per hour plus a flat fee of $20. How much did he pay for the carriage?
He paid for 20/10=<<20/10=2>>2 hours That means the hourly fee was 30*2=$<<30*2=60>>60 So the total cost was 60+20=$<<60+20=80>>80 #### 80
Mr. Lalande inherited 20,000 euros from his old aunt Adeline. He is very happy because he will be able to afford the car of his dreams, a superb car worth 18000 €. He goes to the dealership and tries the car. He decides to take it, but instead of paying for everything right away, he chooses to pay in several installments. He pays 3,000 euros to be able to leave with the car and the seller offers to let him pay the rest in 6 monthly installments. How much does Mr. Lalande have to pay every month?
Let’s first calculate what remains to be paid to Mr. Lalande once he leaves the store 18000 - 3000 = <<18000-3000=15000>>15000£ Let’s split this sum into 6 month installments: 15000 / 6 = <<15000/6=2500>>2500£ #### 2500
Ben has two brothers. They can each eat 12 slices of pizza. They are ordering pizza for the night and want to make sure they get enough. The large pizzas have 14 slices and the small pizzas have 8. If they order 1 small pizza, how many large pizzas do they need to order?
They need 36 slices because 3 x 12 = <<3*12=36>>36 After ordering the small, they need 28 slices because 36 -8 = <<28=28>>28 They need 2 large pizzas because 28 / 14 = <<28/14=2>>2 #### 2
Joseph had socks of many different colors. His dresser drawer was filled to overflowing with red, blue, black, and white socks. Uncertain of how many pairs he had of each color, he began to sort his socks. He discovered that he had three more pairs of blue socks than he had pairs of black socks. He had one less pair of red socks than he had pairs of white socks. He had twice as many blue socks as he had of red socks. And he counted a total of 6 red socks. What is the total number of Joseph's socks?
Starting with 6 red socks, twice the number of blue socks as red meant Joseph had 2*6=12 blue socks. With one less pair of red socks than white socks, this meant 2 fewer red socks than white, for a total of 6-2=<<6-2=4>>4 white socks. Also, 12 blue socks=6 pairs of blue socks. With three more pairs of blue socks than pairs of black socks, this means he had 6-3=<<6-3=3>>3 pairs of black socks. And three pairs of black socks corresponds to 3*2=<<3*2=6>>6 black socks. Thus, in total, he had 6+12+4+6=<<6+12+4+6=28>>28 socks. #### 28
Tina is a professional boxer. She wins her first 10 fights of her career. She then goes on to win 5 more before losing her first fight, and then doubles her number of wins before losing again. She then retires. How many more wins than losses does she have at the end of her career?
Tina wins her first 10, and then wins 5 more for 10+5 = 15 wins before losing 1. She then doubles her number of wins for a total of 15*2=30 wins, before losing 1 more for 1+1=2 losses. For her career she has 30-2=<<30-2=28>>28 more wins than losses. #### 28
John used to go to the gym multiple times a weak but because of lockdowns he hasn't been able to go. He used to lift 700 for squat, 400 for bench, and 800 for deadlift. For squat he lost 30% of his lift. He didn't lose any weight on bench because he was able to train that at home and he lost 200 pounds on deadlift. What is his new total?
He lost 700*.3=<<700*.3=210>>210 pounds on squat So his squat is now 700-210=<<700-210=490>>490 pounds His deadlift is 800-200=<<800-200=600>>600 pounds So his total is now 490+600+400=<<490+600+400=1490>>1490 pounds #### 1490
Krista started raising chickens. She has 10 hens who lay eggs. She sells the eggs for $3 a dozen. In four weeks, she sold $120 worth of eggs. If she sold all the eggs her hens laid, how many eggs does each hen lay a week?
At $3 a dozen, Krista sold $120 / $3 = <<120/3=40>>40 dozen eggs. If 10 hens laid 40 dozen eggs in 4 weeks, that means 40 dozen eggs / 10 hens = <<40/10=4>>4 dozen eggs were laid by each hen in four weeks. To find out how many eggs each hen laid in a week, 4 dozen eggs / 4 weeks = <<4/4=1>>1 dozen eggs each week. Since a dozen has 12 eggs, each hen lays 12*1 = <<12*1=12>>12 eggs each week. #### 12
A pair of dogs are barking back and forth at each other from across the street. The poodle barks twice for every one time the terrier barks. The terrier’s owner hushes it every second time it barks. She has to say “hush” six times before the dogs stopped barking. How many times did the poodle bark?
The terrier barked twice as many times as it was told to hush, so it barked 6 * 2 = <<6*2=12>>12 times. The poodle barked two times for every terrier bark, so it barked 12 * 2 = <<12*2=24>>24 times. #### 24
Kelly booked a three week vacation to visit relatives. The first day, she spent traveling. The next 5 days she spent at her Grandparents' house. The next day, she spent traveling. Then, she spends the next 5 days at her brother's house. Then she spent two days traveling to her sister's house, spent several days at her sister's house, and then spent two more days traveling home. How many days did she spend at her sister's house?
Three weeks is 7*3=<<7*3=21>>21 days. She traveled one day to her grandparents' house, one day to her brother's house, two days to her sister's house, and two days back home for a total of 1+1+2+2=<<1+1+2+2=6>>6 days. She spent 5 days at her grandparents' house and 5 days at her brother's house, for a total of 5+5=<<5+5=10>>10 days. Thus, of the 21 vacation days, the number of days remaining to spend with her sister was 21-6-10=<<21-6-10=5>>5 days. #### 5
James hires a seamstress to fix all his shirts and pants. He has 10 shirts and 12 pairs of pants. It takes 1.5 hours to fix a shirt and twice as long for pants. The tailor charges $30 per hour. How much does it cost?
It takes 10*1.5=<<10*1.5=15>>15 hours to fix his shirts It takes 1.5*2=<<1.5*2=3>>3 hours per pair of pants So it takes 3*12=<<3*12=36>>36 hours for the pants That means in total it takes 15+36=<<15+36=51>>51 hours So it cost 51*30=$<<51*30=1530>>1530 to fix everything #### 1530
Suzie and 5 of her friends decide to rent an Airbnb at Lake Tahoe for 4 days from Thursday to Sunday. The rental rate for weekdays is $420 per day. The weekend rental rate is $540 per day. They all decide to split the rental evenly. How much does each person have to pay?
The cost of the rental for Thursday and Friday comes to $420 * 2 = $<<420*2=840>>840. The cost of the rental for Saturday and Sunday comes to $540 * 2 = $<<540*2=1080>>1080. The total cost of the rental comes to $840 + 1080 = $<<840+1080=1920>>1920. The payment required for each person comes to $1920 / 6 = $<<1920/6=320>>320. #### 320
Lara is a contestant on a fun game show where she needs to navigate an inflated bouncy house obstacle course. First she needs to carry a backpack full of treasure through the obstacle course and set it down on the other side, which she does in 7 minutes and 23 seconds. Second, she needs to crank open the door to the obstacle course so she can go back through, which takes her 73 seconds. After she gets through the door she traverses the obstacle course again and makes it out faster without the backpack, in 5 minutes and 58 seconds. How many seconds total does it take her to complete the obstacle course?
It takes Lara 7 minutes and 23 seconds to make it through the obstacle course the first time. 7 minutes x 60 seconds per minute = 420 seconds + 23 seconds = <<7*60+23=443>>443 seconds to get through the first part of the obstacle course. The second stage of the obstacle course she completes in 73 seconds + 443 seconds = <<73+443=516>>516 seconds. It takes 5 minutes and 58 seconds for Lara to get through the obstacle course the second time. 5 minutes x 60 seconds per minute = 300 + 58 seconds = <<300+58=358>>358 seconds. Combined, it takes Lara 516 + 358 seconds = <<516+358=874>>874 seconds for Lara to run the whole obstacle course. #### 874
Mike is feeding the birds at the park. He counts out the seeds as he throws them. He throws 20 seeds to the birds on the left. He throws twice as much to the bigger group of birds on the right. Some more birds flutter over to join the others for lunch and Mike throws 30 more seeds for them. If Mike has 30 seeds left to feed the last of the birds, how many seeds did Mike start with?
Mike started by throwing 20 seeds to the birds and then threw twice as many, 20 + 20(2) = 20 + 40. That totals to 20 + 40 = <<20+40=60>>60 seeds. He also threw 30 other seeds and had 30 left over, which means he started with 60 + 30 + 30 = <<60+30+30=120>>120 seeds. #### 120
John reels in 3 crab baskets a week. Each basket holds 4 crabs. He collects crabs twice a week. Each crab sells for $3. How much money does he make?
He collects 3*4=<<3*4=12>>12 crabs each time. He thus collects 12*2=<<12*2=24>>24 crabs a week. So he makes 24*3=$<<24*3=72>>72 a week. #### 72
Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How many stamps are in Stella's album?
There are 30 x 5 = <<30*5=150>>150 stamps on each of the first 10 pages. So she has a total of 150 x 10 = <<150*10=1500>>1500 stamps in the first 10 pages. There are 50 - 10 = <<50-10=40>>40 pages that have 50 stamps each. There is a total of 40 x 50 = <<40*50=2000>>2000 stamps in the remaining 40 pages. Therefore, Stella has 2000 + 1500 = <<2000+1500=3500>>3500 stamps in her album. #### 3500
Jimmy has a collection of 5 action figures. Each figure is worth $15, except for one which is worth $20. He decided to sell his collection. To do it fast he decided to sell each of them for $5 less than their value. How much will Jimmy earn if he sells all the figures?
Four of the five figures are worth 4 * 15 = $<<4*15=60>>60. With one more expensive figure, they are all worth 60 + 20 = $<<60+20=80>>80. On all action figures, Jimmy will lose 5 * 5 = $<<5*5=25>>25 if he sells them cheaper. So if Jimmy sells the figures he will get 80 - 25 = $<<80-25=55>>55. #### 55
The school is hosting a race after school. The winner is the person who runs the most laps around the school in 12 minutes. One lap around the school is 100 meters. The winner is awarded a gift certificate equal to $3.5 for every one hundred meters they run. The winner runs 24 laps around the school. On average, how much did they earn per minute?
They ran 2,400 meters because 24 laps x 100 m/lap = <<24*100=2400>>2400 m They ran 200 meters per minute because 2400 m / 12 min = <<2400/12=200>>200 m/min For every minute they ran they earned an average of $7 because $3.5/100m x 200 m/min = $<<3.5/100*200=7>>7/min #### 7
Milly and Floretta are having a water balloon fight in their garden. They use 3 packs of their own water balloons and also use 2 packs of a neighbor’s water balloons. Each pack of water balloons contains 6 balloons. Milly and Floretta fill all of the balloons then split them evenly, but Milly takes an extra 7 balloons when Floretta isn't looking. How many water balloons is Floretta left with?
Milly and Floretta have a total of 3 packs of their own water balloons + 2 packs of the neighbor’s water balloons = <<3+2=5>>5 packs of water balloons. So there is a total of 5 packs of water balloons * 6 balloons per pack of water balloons = <<5*6=30>>30 water balloons available. As they split them evenly, they each have 30 water balloons / 2 = <<30/2=15>>15 water balloons. After Milly steals some balloons, Floretta is left with 15 – 7 = <<15-7=8>>8 water balloons. #### 8
Gary has 6 pounds of flour. He will use 4 pounds of flour to make cakes which require 0.5 pounds of flour each. The remaining 2 pounds of flour will be used to bake cupcakes, which require 1/5 pounds of flour. He plans to sell the cakes for $2.5 each and the cupcakes for $1 each in the school's bake sale. How much will Gary earn?
Gary can bake 4/0.5 = <<4/0.5=8>>8 cakes from the 4 pounds of flour. He can bake 2/ 1/5 = 10 cupcakes from the 2 pounds of flour. So, he will earn $2.5 x 8 = $<<2.5*8=20>>20 from the cakes. Hence, Gary will earn a total of $20 + $10 = $<<30=30>>30 from baking 8 cakes and 10 cupcakes. #### 30
Josie's mom gave her a $20 bill and asked her to go to the store for a few items. The list included a carton of milk for $4.00, a loaf of bread for $3.50, a box of laundry detergent for $10.25 and 2 pounds of bananas that were $0.75 per pound. Her mom also gave her a coupon for $1.25 off of the laundry detergent. At checkout, the clerk told her the milk was 1/2 off today. How much money did Josie have left over after she bought all of the groceries?
The milk cost $4.00 but was on sale for 1/2 off so 4*.50 = $<<4*.50=2.00>>2.00 She bought 2 pounds of bananas at $0.75 per pound so 2 *.75 = $<<2*0.75=1.50>>1.50 She had a $1.25 coupon off of laundry detergent so 10.25 - 1.25 = $<<10.25-1.25=9.00>>9.00 When you add all of her purchases together then 2 + 1.50 +3.50 + 9.00 = $<<2+1.50+3.50+9=16.00>>16.00 She paid with a $20 bill so 20-16 = $<<20-16=4>>4 left over #### 4
At the burger hut, you can buy a burger for $5, french fries for $3, and a soft drink for $3. If you order a special burger meal, you get all 3 of these food items for $9.50. A kid’s burger is $3, a kid’s french fries are $2, and a kid's juice box is $2. They also have a kids meal of all 3 kids' food items for $5. Mr. Parker buys 2 burger meals for his wife and himself. He also buys 2 burger meals and 2 kid's meals for his 4 children. How much money does Mr. Parker save by buying the 6 meals versus buying the individual food items?
To buy regular food items individually, they cost $5 + $3 + $3 = $<<5+3+3=11>>11. To buy kids food items individually, they cost $3 + $2 + $2 = $<<3+2+2=7>>7. If you buy the special burger meal, you save $11 - $9.50 = $<<11-9.5=1.50>>1.50. If you buy the kid's meal, you save $7 - $5 = $<<7-5=2>>2. Mr. Parker buys 4 special burger meals, bringing his discount to 4 x $1.50 = $<<4*1.50=6>>6. He buys 2 kid's meals, bringing his discount to 2 x $2 = $<<2*2=4>>4. The total savings for Mr. Parker is $6 + $4 = $<<6+4=10>>10. #### 10
A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?
8+8=<<8+8=16>>16 students are enrolled in the German class. 8*.25=<<8*.25=2>>2 dropped out from the new recruits. 2 more left, so the class had 16-2-2=<<16-2-2=12>>12 students left. There were 12*5+12=<<12*5+12=72>>72 total students in the class after the rally. Two people had to drop the class, so there were 72-2=<<72-2=70>>70 left. 70+6=<<70+6=76>>76 were enrolled after the final rally. 76/2=<<76/2=38>>38 are left after half the class dropped. 38/2=<<38/2=19>>19 are left after half the class graduated. #### 19
An old pirate wants to leave his treasure on an island. He has 3500 gold coins. He wants to spread this equally across 5 chests. Additionally, he will put a total of 500 silver coins and twice as many bronze coins as silver, all distributed equally across the chests. How many coins in total will be in each chest?
There will be 3500 gold coins / 5 chest= <<3500/5=700>>700 gold coins in every chest. So, there will be 500 silver coins / 5 chests = <<500/5=100>>100 silver coins in each chest. Then, the number of bronze coins is double the number of silver coins, so there are 2 * 500 = <<2*500=1000>>1000 bronze coins. So there will be 1000 bronze coins / 5 chests = <<1000/5=200>>200 bronze coins in each chest. Finally, the total number of coins in every chest will be 700 gold coins + 100 silver coins + 200 bronze coins = <<700+100+200=1000>>1000 coins. #### 1000
Aaron and his brother Carson each saved up $40 to go to dinner. The bill is 3/4 of their total money. After, they go out for ice cream. Each scoop costs $1.5 and they get the same amount as each other. If they leave with $1 in change each, how many scoops did they each buy?
They had $80 saved up because 2 x 40 = <<2*40=80>>80 They spent $60 because 80 x (3/4) = <<80*(3/4)=60>>60 They had $20 left for ice cream because 80 - 60 = <<80-60=20>>20 They had $2 left after leaving the ice cream shop because 2 x 1 = <<2*1=2>>2 They spent $18 on ice cream because 20 - 2 = <<20-2=18>>18 The bought 12 scoops of ice cream because 18 / 1.5 = <<18/1.5=12>>12 The each bought 6 scoops because 12 / 2 = <<12/2=6>>6 #### 6
UF got into the national championship. For them to get into the championship, they scored a total of 720 points during their previous 24 games. In the championship game, however, their opponent was much stronger than any other team they had previously gone against and they scored 2 points less than half as much as they had previously scored in each of the 24 games. Their opponent only lost by 2 points. How many points did their opponent score?
They scored an average of 720/24=<<720/24=30>>30 points in their previous games Half that many would be 30/2=<<30/2=15>>15 points So in the finals, they scored 15-2=<<15-2=13>>13 points Their opponent thus scored 13-2=<<13-2=11>>11 points #### 11
George is about to celebrate his 25th birthday. Since his 15th birthday, he's been given a special $1 bill from his parents. They told him that on his 25th birthday, for every bill he still has, they will give him $1.5 in exchange. He spent 20% of his special bills. How much will he receive from his parents when he exchanges them?
He received 10 special bills because 25 - 15 = <<25-15=10>>10 He has 80% of them left because 100 - 20 = <<100-20=80>>80 He has 8 left because 10 x .8 = <<10*.8=8>>8 His parents will give her $12 for them because 8 x 1.5 = <<8*1.5=12>>12 #### 12