acnagle/gsm8k-filtered huggingface dataset:
John's neighbor tells him to walk his dog for 1 hour each day for a total of $10. He does this for April, save for the 4 Sundays in April. He later spent $50 on books and gave his sister Kaylee the same amount.

Question: How much money did John have left?
Answer: April has 30 days, so if he didn't walk the dog on Sundays, he worked for a total of 30 days - 4 days = <<30-4=26>>26 days.
If each day he earned $10, he ends up with 26 days * $10/day = $<<26*10=260>>260 .
After buying books and giving his sister $50, he ends up with $260 - $50 - $50 = $<<260-50-50=160>>160
#### 160
Holly gets 26 paychecks per year. If she puts $100.00 from every paycheck into her 401K, her company will match that contribution by 6%.

Question: How much money has she and her company contributed to her 401k after 1 year?
Answer: She puts $100.00 into her 401k from every paycheck and she gets 26 paychecks so that’s 100*26 = $<<100*26=2600.00>>2,600.00
Her company matches her $100.00 by 6% so they contribute 100*.06 = $<<100*.06=6.00>>6.00 every paycheck
Over a year, the company contributes $6.00 to her 401k with every paycheck so they contribute 6*26 = $<<6*26=156.00>>156.00
Holly puts $2,600.00 into her 401k annually and her company contributes $156.00 annually so she has 2600+156 = $<<2600+156=2756>>2,756 in her 401k
#### 2756
Linda is painting her bedroom. Her bedroom has 4 walls, with the room being 20 feet wide by 20 feet long by 8 feet tall. One wall has a 3-foot by 7-foot doorway. A second wall has a 6-foot by 4-foot window. A third wall has a 5-foot by 7-foot doorway to a walk-in-closet. And the fourth wall is completely solid.

Question: What is the total area of wall space that Linda will have to paint?
Answer: The solid wall is 8 ft. * 20 ft. = <<8*20=160>>160 sq. ft.
The doorway is 3 ft. * 7 ft. = <<3*7=21>>21 sq. ft.
The window is 6 ft. * 4 ft. = <<6*4=24>>24 sq. ft.
The closet door is 5 ft. * 7 ft. = <<5*7=35>>35 sq. ft.
The total area of the doors and windows is 21 sq. ft + 24 sq. ft. + 35 sq. ft. = <<21+24+35=80>>80 sq. ft.
The solid wall is 160 sq. ft., so before the areas of the doors and window are taken into account, the total wall area is 4 * 160 sq. ft. = <<4*160=640>>640 sq. ft.
Taking into account the doors and window, the total wall area Linda will have to paint is 640 sq. ft. - 80 sq. ft. = <<640-80=560>>560 sq. ft.
#### 560
Mr. Llesis had 50 kilograms of rice. He kept 7/10 of it in storage and gave the rest to Mr. Everest.

Question: How many kilograms of rice did Mr. Llesis keep than Mr. Everest?
Answer: Mr. Llesis kept 50 x 7/10 = <<50*7/10=35>>35 kilograms of rice.
So, he gave 50 - 35 = <<50-35=15>>15 kilograms of rice to Mr. Everest.
Therefore, Mr. Llesis kept 35 - 15 = <<35-15=20>>20 kilograms more than Mr. Everest.
#### 20
Elmer has a pond that initially contained 2400 pollywogs, but these pollywogs matured into toads and left the pond at a constant rate of 50 pollywogs per day. In addition, Elmer has a son named Melvin, who loves to catch pollywogs, remove them from the pond, and release them into a nearby stream. For the first 20 days, Melvin caught 10 pollywogs per day and released them into the stream.

Question: How many days did it take for all of the pollywogs to disappear from the pond?
Answer: For the first 20 days, the combined rate of disappearance of pollywogs from the pond is 50+10=<<50+10=60>>60 pollywogs per day.
During these first 20 days, the total number of pollywogs removed was 60*20=<<60*20=1200>>1200 pollywogs.
This means after 20 days there were 2400-1200=<<2400-1200=1200>>1200 pollywogs left in the pond.
At a disappearance rate of rate 50 pollywogs per day, it will take an additional 1200/50=<<1200/50=24>>24 days for the rest of the pollywogs to disappear from the pond.
Thus, overall, it will take 20+24=<<20+24=44>>44 days for all of the pollywogs to disappear from the pond.
#### 44
Roxanne bought 2 cups of lemonade for $2 each and 2 sandwiches for $2.50 each.

Question: How much change must she get from a $20 bill?
Answer: Two cups of lemonade amount to $2 x 2 = $<<2*2=4>>4.
Two sandwiches amount to $2.50 x 2 = $<<2.5*2=5>>5.
So, the total amount that Roxanne had to pay was $4 + $5 = $<<4+5=9>>9.
Thus, her change must be $20 - $9 = $<<20-9=11>>11.
#### 11
Mark just got a new puppy that cost $10. He also bought enough food for 3 weeks. He knows the puppy eats 1/3 cup of food a day. A bag of food with 3.5 cups costs $2.

Question: How much did all of this cost him?
Answer: He needs food for 21 days because 3 x 7 = <<3*7=21>>21
The puppy will eat 7 cups of food because 21 x (1/3) = <<21*(1/3)=7>>7
He needs 2 bags of food because 7 / 3.5 = <<7/3.5=2>>2
The food will cost him $4 because 2 x 2 = <<2*2=4>>4
It will cost $14 in total because 10 + 4 = <<10+4=14>>14
#### 14
Grant has four times as many vacations as Kelvin has classes.

Question: If Kelvin has 90 classes, how many vacations and classes do Grant and Kelvin have altogether?
Answer: Grant has 4*90 = <<4*90=360>>360 vacations.
In total, they have 360 + 90 = <<360+90=450>>450 vacations and classes.
#### 450
Enid and Aaron are knitting clothes for their store. Aaron makes 10 scarves and 5 sweaters, and Enid makes 8 sweaters.

Question: If a scarf uses 3 balls of wool and a sweater uses 4 balls of wool, how many balls of wool did Enid and Aaron use in total?
Answer: Aaron used 10 scarves * 3 balls of wool = <<10*3=30>>30 balls of wool to make his scarves.
He also used 5 sweaters * 4 balls of wool = <<5*4=20>>20 balls of wool to make his sweaters.
Enid used 8 sweaters * 4 balls of wool = <<8*4=32>>32 balls of wool to make her sweaters.
So in total, Aaron used 30 + 20 + 32 = <<30+20+32=82>>82 balls of wool.
#### 82
For a wedding, chairs were arranged in 7 rows with 12 chairs in each row. Some people arrived late and grabbed 11 extra chairs, placing them at the back.

Question: How many chairs were there altogether?
Answer: At first, there were 7*12=<<7*12=84>>84 chairs.
Later, there were 84+11=<<84+11=95>>95 chairs altogether.
#### 95
A superhero can use superhuman speed to run 10 miles in 4 minutes. The supervillain has an Evil-Mobile that drives 100 miles per hour.

Question: How many miles farther can the superhero run in an hour than the supervillain can drive?
Answer: There are 60 minutes in an hour, so the superhero will run 60 / 4 = <<60/4=15>>15 intervals of 10 miles in an hour.
Thus, the superhero can run 15 * 10 = <<15*10=150>>150 miles in an hour.
The superhero can run 150 - 100 = <<150-100=50>>50 miles farther than the supervillain can drive in an hour.
#### 50
Trevor is a comic book illustrator. In the past three months, he has drawn 220 pages of the comic. The comic he illustrates releases a new issue once a month. The first and second months’ issues were the same number of pages, but the third month’s issue was four pages longer than either of the others.

Question: How many pages was the first issue of the comic?
Answer: Let P be the number of pages of the first issue of the comic.
The second issue is the same number of pages, so the first and second issues are P + P = 2P pages.
The third issue is 4 pages longer, so it is P + 4 pages.
All three issues are 2P + P + 4 = 3P + 4 = 220 pages long.
Thus, 3P = 220 - 4 = 216 pages.
Therefore, the first issue of the comic was P = 216 / 3 = <<216/3=72>>72 pages.
#### 72
James can make 4 hats out of one yard of velvet. He needs three yards of velvet to make a cloak.

Question: How much velvet does he need to make 6 cloaks and 12 hats?
Answer: First find the total amount of velvet James uses on the hats: 12 hats / 4 hats/yard = <<12/4=3>>3 yards
Then find the total amount of velvet he needs to make the cloaks: 6 cloaks * 3 yards/cloak = <<6*3=18>>18 yards
Then add those two amounts to find the total amount of velvet he needs: 3 yards + 18 yards = <<3+18=21>>21 yards
#### 21
A chef needs to make french fries. He can get 25 fries out of 1 potato. He has 15 potatoes and he needs 200 fries.

Question: How many potatoes will he have leftover?
Answer: To make 200 fries he will need 200 / 25 fries per potato = <<200/25=8>>8 potatoes.
He has 15 potatoes - 8 potatoes = <<15-8=7>>7 leftover potatoes.
#### 7
After Bella’s ballet performance, she received 2 dozen roses from her parents, and 2 roses from each of her 10 dancer friends.

Question: How many roses did Bella receive?
Answer: Bella receives 2 x 12 = <<2*12=24>>24 roses from her parents.
She receives 2 x 10 = <<2*10=20>>20 roses from her friends.
She receives a total of 24 + 20 = <<24+20=44>>44 roses.
#### 44
Phillip wants to make pickles with the supplies he finds at home. He has 4 jars, 10 cucumbers, and 100 oz of vinegar. Each cucumber makes six pickles. Each jar can hold 12 pickles. It takes 10 ounces of vinegar per jar of pickles.

Question: When he is all done making as many pickles as he has supplies for, how many ounces of vinegar are left?
Answer: The jars allow him to make 48 pickles because 4 x 12 = <<4*12=48>>48
The cucumbers allow him to make 60 pickles because 10 x 6 = <<10*6=60>>60
The vinegar allows him to make 10 jars of pickles because 100 / 10 = <<100/10=10>>10
The vinegar is enough to make 60 pickles because 10 x 6 = <<10*6=60>>60
He can make 48 pickles because 48 < 60
He needs 4 jars to make this because 48 / 12 = <<48/12=4>>4
He needs 40 ounces of vinegar because 4 x 10 = <<4*10=40>>40
He has 60 ounces remaining because 100 - 40 = <<100-40=60>>60
#### 60
Mark has to wait 4 days for his first coronavirus vaccine appointment. Then he has to wait 20 days for his second vaccine appointment. Then he has to wait 2 weeks for the vaccine to be fully effective.

Question: How many days does Mark have to wait in total?
Answer: 2 weeks have 2 weeks* 7 days per week = <<2*7=14>>14 days
Counting the days until the first and second vaccine, and the days to the vaccine to be fully effective, Mark has to wait 4 days + 20 days + 14 days = <<4+20+14=38>>38 days
#### 38
Each purple book has 230 pages. Each orange book contains 510 pages. Mirella read 5 purple books and 4 orange books.

Question: How many more orange pages did she read than purple pages?
Answer: Purple = 5 * 230 = <<5*230=1150>>1150 pages
Orange = 4 * 510 = <<4*510=2040>>2040 pages
2040 - 1150 = <<2040-1150=890>>890
Mirella read 890 more orange pages than purple pages.
#### 890
A train takes 4 hours to reach a destination at a speed of 50 miles per hour.

Question: How long would it take if it traveled at 100 miles per hour instead?
Answer: The distance to the destination is 4 hours * 50 miles/hour = <<4*50=200>>200 miles.
Traveling at 100 miles per hour, it will take 200 miles / (100 miles/hour) = <<200/(100)=2>>2 hours.
#### 2
Alicia has 20 gumballs. Pedro has that many gumballs plus an additional number of gumballs equal to three times the number Alicia has. They put their gumballs in a bowl, and later Pedro takes out 40% of the gumballs to eat.

Question: How many gumballs are remaining in the bowl?
Answer: If Pedro has three times more gumballs than Alicia, he has 3 * 20 gumballs = <<3*20=60>>60 gumballs more
In total, Pedro has 20 gumballs + 60 gumballs = <<20+60=80>>80 gumballs
When they put their gumballs together, the total number of gumballs in the bowl becomes 20 gumballs + 80 gumballs = <<20+80=100>>100 gumballs
Pedro takes out 40% of the gumballs which is 40/100 * 100 gumballs = <<40/100*100=40>>40 gumballs.
The number of gumballs remaining is 100 gumballs - 40 gumballs = <<100-40=60>>60 gumballs
#### 60
A group of science students went on a field trip. They took 9 vans and 10 buses. There were 8 people in each van and 27 people on each bus.

Question: How many people went on the field trip?
Answer: The vans held 9 vans * 8 people = <<9*8=72>>72 people.
The buses held 10 buses * 27 people = <<10*27=270>>270 people.
The total number of people on the field trip is 72 + 270 = <<72+270=342>>342 people.
#### 342
Wynter went to her local town bike shop to buy her sister a bicycle as her birthday gift. While at the shop, Wynter counted 50 bicycles and 20 tricycles.

Question: How many wheels in total did the vehicles she saw have?
Answer: The bicycles had a total of 50 bikes * 2 wheels/bike = <<50*2=100>>100 wheels.
There were 20 trikes * 3 wheels/trike = <<20*3=60>>60 wheels for the tricycles.
The total number of wheels is 100 wheels + 60 wheels = <<100+60=160>>160 wheels
#### 160
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal.

Question: What is the latest time they can leave their house to make it to the airport in time?
Answer: It will take 45 minutes to drive to the airport and 15 minutes to park so that's 45+15 = <<45+15=60>>60 minutes (1 hour)
They need to check in 2 hours early and it will 1 hour to drive there and park so that's 2+1 = <<2+1=3>>3 hours
Their flight leaves at 8:00 pm and it will take 3 hours to drive there and check in so the latest they can leave is 8-3 = <<8-3=5>>5:00 pm
#### 5
This weekend's football game matched the Seattle Seahawks with the Denver Broncos. The final score was 37-23, with the Seattle Seahawks taking the win.

Question: If a touchdown is worth 7 points and a field goal is worth 3 points, how many touchdowns did the Seattle Seahawks score if they scored 3 field goals during the game?
Answer: The Seattle Seahawks scored 3 field goals during the length of the game and each field goal is worth 3 points, so 3 * 3=<<3*3=9>>9 points were made by the Seattle Seahawks from field goals.
The Seattle Seahawks won so their total points would be 37 with 9 of those points accrued through the scoring of field goals, which makes 37-9=<<37-9=28>>28 points left to be scored by touchdowns.
There are 28 points scored by touchdowns and each touchdown is worth 7 points, so this means that 28/7=<<28/7=4>>4 touchdowns were scored by the Seattle Seahawks throughout the game.
#### 4
John is 15 cm taller than Lena and 6 cm shorter than Rebeca.

Question: If John has a height of 152 cm, what is the height of Lena and Rebeca together?
Answer: Lena is 152 cm - 15 cm = <<152-15=137>>137 cm tall
Rebeca is 152 cm + 6 cm = <<152+6=158>>158 cm tall
So, the total height of Lena and Rebeca would be 137 cm + 158 cm = <<137+158=295>>295 cm.
#### 295
Jason has a moray eel that eats 20 guppies a day and 5 betta fish who each eat 7 guppies a day.

Question: How many guppies per day does she need to buy?
Answer: First find the total number of guppies the betta fish need: 5 fish * 7 guppies/fish = <<5*7=35>>35 guppies
Then add the number of guppies the eel needs to find the total number needed: 35 guppies + 20 guppies = <<35+20=55>>55 guppies
#### 55
Betty has a tray of cookies and a tray of brownies. She has a real sweet tooth and eats 3 cookies a day and 1 brownie a day.

Question: If she starts with 60 cookies and 10 brownies, how many more cookies than brownies does she have after a week of eating like this?
Answer: First we find how many cookies Betty will eat in a week by multiplying her daily amount by 7, meaning 7*3=<<21=21>>21 cookies eaten in a week.
We repeat this for the brownies, finding she eats 7*1=<<7*1=7>>7 brownies in a week.
We subtract the 21 cookies from the original amount of 60, finding 60-21= <<60-21=39>>39 cookies remaining.
We repeat this step for the brownies, finding 10-7= <<10-7=3>>3 brownies remaining.
In the end, therefore, Betty has 39-3= <<39-3=36>>36 more cookies than brownies.
#### 36
A fifth-grade class went on a field trip to the zoo, and their class of 10 students merged with another class with the same amount of students. 5 parents offered to be a chaperone, and 2 of the teachers from both classes will be there too. When the school day was over, the students could choose to go home and 10 of them left. Two of the chaperones were parents in that group, so they left as well.

Question: How many individuals were left at the zoo?
Answer: A total of 10*2=<<10*2=20>>20 students went on the field trip.
Some chaperones showed up, letting the group grow to 20+5=<<20+5=25>>25 individuals.
The teachers had to come as well, making the group as big as 25+2=<<25+2=27>>27 individuals.
When the school day ended, 27-10=<<27-10=17>>17 individuals were left.
A couple of chaperones followed suit, leaving 17-2=<<17-2=15>>15 people at the zoo.
#### 15
Tara has a shoebox that is 4 inches tall and 6 inches wide. She puts a square block inside that is 4 inches per side.

Question: How many square inches of the box are left uncovered?
Answer: The shoebox is 24 square inches because 4 x 6 = <<4*6=24>>24
The block is 16 square inches because 4 x 4 = <<4*4=16>>16
There are 8 square inches uncovered because 24 - 16 = <<24-16=8>>8
#### 8
Pirate Rick sailed his ship to a tropical island in search of a site to bury his treasure. After finding the perfect site, it took him 4 hours to dig up 8 feet of sand under which to bury the treasure. Once the treasure was buried, he left the island. Then, a tropical storm came and washed away half of the sand from on top of the treasure. Next, a giant tsunami wave poured over the island, adding 2 feet of new sand back onto the site of his treasure.

Question: When Pirate Rick returned, how long did it take for him to dig up his treasure?
Answer: Pirate Rick digs at a rate of 8 feet of sand per 4 hours, or 8/4=<<8/4=2>>2 feet per hour.
Of the 8 feet of sand that were initially on top of the treasure, the storm washed 8/2=<<8/2=4>>4 feet of sand away.
Thus, after the storm and the tsunami, the treasure was buried beneath 8-4+2=<<8-4+2=6>>6 feet of sand.
Digging at a rate of 2 feet per hour, Pirate Rick could uncover his treasure in 6/2=3 hours.
#### 3
The big bottles of mango juice hold 30 ounces and cost 2700 pesetas each. The small bottles hold 6 ounces and cost 600 pesetas each.

Question: How many pesetas would be saved by buying a big bottle instead of smaller bottles for the same volume of juice?
Answer: The equivalent is 30/6=<<30/6=5>>5 small bottles.
Five small bottles at 600 pesetas each is 5*600=<<5*600=3000>>3000 pesetas.
The savings is 3000-2700=<<3000-2700=300>>300.
#### 300
John decides to start collecting art. He pays the same price for his first 3 pieces of art and the total price came to $45,000. The next piece of art was 50% more expensive than those.

Question: How much did all the art cost?
Answer: The first 3 pieces each cost 45000/3=$<<45000/3=15000>>15,000
So the next piece was 15,000*.5=$<<15000*.5=7500>>7,500 more expensive
That means it cost 15,000+7,500=$<<15000+7500=22500>>22,500
That means in total he spent 45,000+22,500=$67,500
#### 67,500
John buys a lightsaber toy. It is twice as expensive as all his other Star Wars toys combined.

Question: If his other Star Wars toys cost $1000, how much money has he spent in all after buying the lightsaber?
Answer: The lightsaber cost 1000*2=$<<1000*2=2000>>2000
So he has spent 2000+1000=$<<2000+1000=3000>>3000
#### 3000
Lorin has 4 black marbles. Jimmy has 22 yellow marbles. Alex had twice as many black marbles as Lorin and one half as many yellow marbles as Jimmy.

Question: How many marbles does Alex have?
Answer: Alex has 2*4=<<2*4=8>>8 black marbles
Alex has 22/2=<<22/2=11>>11 yellow marbles
Alex has 8+11=<<8+11=19>>19 marbles
#### 19
Sophie does 4 loads of laundry a week and uses 1 dryer sheet per load. A box of dryer sheets costs $5.50 and has 104 dryer sheets in a box. On her birthday, she was given wool dryer balls to use instead of dryer sheets.

Question: How much money does she save in a year not buying dryer sheets?
Answer: She does 4 loads of laundry a week and used 1 dryer sheet per load for a total of 4*1 = <<4*1=4>>4 dryer sheets in a week
She used 4 dryer sheets per week for 52 weeks for a total of 4*52 = <<4*52=208>>208 dryer sheets
Her box of dryer sheets has 104 sheets so she needs 208/104 = 2 boxes of dryer sheets
Each box costs $5.50 and she used 2 boxes so she now saves 5.50*2 = $<<5.50*2=11.00>>11.00 by not buying dryer sheets
#### 11
Damien jogs 5 miles per day on weekdays only.

Question: How many miles does he run over three weeks?
Answer: Three weeks at 5 days per week means Damien runs 3*5=<<3*5=15>>15 times in three weeks.
If each time he runs 5 miles, then over 15 running days he covers 5*15=<<5*15=75>>75 miles.
#### 75
Joe saves $6,000 for his trip to Australia.

Question: If he spends $1,200 on the flight, $800 on a hotel, and $3,000 on food, how much money, in dollars, does he have left?
Answer: Joe spends 1200+800+3000=<<1200+800+3000=5000>>5000 dollars.
Joe has 6000-5000=<<6000-5000=1000>>1000 dollars left.
#### 1000
Brooke is milking cows and then selling the milk at the market for $3 a gallon. Whatever milk doesn't sell, she turns into butter. One gallon of milk equals 2 sticks of butter. She then sells the butter for $1.5 a stick. She has 12 cows. Each cow produces 4 gallons of milk. She has 6 customers, each of whom wants 6 gallons of milk.

Question: How much money does she earn if she sells all her milk and butter?
Answer: A gallon of milk makes $3 worth of butter because 2 x 1.5 = <<2*1.5=3>>3
A gallon of milk sells for the same amount as milk or butter because 3 = <<3=3>>3
She gets 48 gallons of milk because 4 x 12 = <<4*12=48>>48
She earns $144 selling the milk because 48 x $3 = <<48*3=144>>144
#### 144
John and Yasmin's dad is named Gabriel.

Question: If John has twice the number of children that her sister has and Gabriel has six grandkids, how many children does Yasmin have?
Answer: We don't know Yasmin's number of children yet, but let's represent it as Y.
If John has twice the number of children Yasmin has, then John has 2*Y = 2Y kids
If Gabriel has 6 grandkids between John's and Yasmin's children, then we can represent this as 6 = 2Y + Y
If we solve the latest equation then we learn that 6=3Y
Given that Y represents how many kids Yasmin has, then solving for Y we know that Y=6/3 or Y=2 kids
#### 2
LaKeisha is mowing lawns to raise money for a collector set of books. She charges $.10 for every square foot of lawn. The book set costs $150.

Question: If she has already mowed three 20 x 15 foot lawns, how many more square feet does she have to mow to earn enough for the book set?
Answer: She has mowed 900 square feet because 3 x 20 x 15 = <<3*20*15=900>>900
She has earned $90 because 900 x .1 = <<900*.1=90>>90
She has to earn $60 more dollars because 150 - 90 = <<150-90=60>>60
She has to mow 600 more square feet of lawns because 60 / .1 = <<60/.1=600>>600
#### 600
There's a sale at your favorite "Any item $10" retailer. If you buy 1 shirt you pay $10. If you buy 2, you get the second one at a 50% discount. If you buy 3, you get the third one at a 60% discount.

Question: How much money did you save if you bought 3 shirts?
Answer: The first shirt has no (0%) discount off the regular price ($10), therefore your discount is = 0% * $10 = $<<0*.01*10=0>>0
The second shirt has a 50% discount off the regular price ($10), therefore your discount is = 50% * $10 = $<<50*.01*10=5>>5
The third shirt has a 60% discount of the regular price ($10), therefore your discount is = 60% * $10 = $<<60*.01*10=6>>6
Therefore in total, you save $0 on the first shirt, $5 on the second one and $6 on the third one = 0+5+6 = $<<0+5+6=11>>11
#### 11
At the bake sale, Tamara makes $32 from the brownies. She made 2 pans of brownies which were all sold. The brownies were cut into 8 big square pieces.

Question: How much did each brownie cost?
Answer: Tamara had 2 x 8 = <<2*8=16>>16 big square brownie pieces.
Each brownie piece cost $32 / 16 = $<<32/16=2>>2.
#### 2
The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12.

Question: If there are 19 cheerleaders total, how many cheerleaders need a size 6?
Answer: Let s be the number of cheerleaders who need a size 6 and t be the number who need a size 12. We know that s = 2t and s + t + 4 = 19.
Substituting the first equation into the second equation, we get 2t + t + 4 = 19
Combining like terms, we get 3t + 4 = 19
Subtracting 4 from both sides, we get 3t = 15
Dividing both sides by 3, we get t = 5
Substituting that value back into the equation s = 2t, we get s = 2 * 5 = <<2*5=10>>10
#### 10