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So he can tear for 990/90=11 weeks |
11 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Bobby received his weekly paycheck today. Although his salary is $450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federal taxes and 8% in state taxes, the health insurance removes $50 per week, the life insurance removes $20 per week, and the city charges him a fee of $10 per week for parking, then what is the final amount left in Bobby's paycheck, in dollars?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] The federal government takes out 1/3*450=150 dollars. |
The state takes out 0.08*450=36 dollars. |
Then the final amount remaining after all the deductions are removed is 450-150-36-50-20-10=184 dollars |
184 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Lizzy's school choir has a mixture of 80 blonde and black-haired girls. Their teacher decides to add 10 more girls to the choir, who turns out to be blonde. If there were 30 blonde-haired girls in the choir initially, how many black-haired girls are present?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] The total number of girls in the choir is 80+ 10 = 90 girls. |
The total number of blondes in the choir after 10 more are added is 30+10 = 40 blonde-haired girls. |
From the total number, the number of black-haired girls is 90-40 = 50 black-haired-girls |
50 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Pat is having a picnic with her family. She has 42 cookies. She also has 63 pieces of candy and 21 brownies. There are 7 people in her family. If each person gets the same number of each dessert, how much will each person get?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] Each person gets 42 cookies / 7 people = 6 cookies. |
Each person gets 63 pieces of candy / 7 people = 9 pieces of candy. |
Each person gets 21 brownies / 7 people = 3 brownies. |
Each person will get 6 + 9 + 3 = 18 desserts. |
18 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Mikaela was repainting her bathroom. She bought 16 containers of paint to cover the four equally-sized walls. At the last minute, she decided to put tile on one wall in the bathroom and paint flowers on the ceiling with one container of paint instead. How many containers of paint will she have left over?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] Mikaela would use 16 / 4 = 4 containers of paint per wall. |
To paint 3 walls, she will use 3 * 4 = 12 containers. |
After using 1 container for the ceiling, she will have 16 - 12 - 1 = 3 containers of paint left over. |
3 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Milly is making feather boas for her dance team. Each flamingo has 20 tail feathers, and it's only safe to pluck 25% of their tail feathers at one time. If Milly needs to make 12 boas, and each boa has 200 feathers, how many flamingoes does she need to harvest?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] First find the number of feathers Milly can get from one flamingo: 20 feathers * 25% = 5 feathers |
Then find how many feathers she needs total: 12 boas * 200 feathers/boa = 2400 feathers |
Then divide the number of feathers she needs by the number of feathers per flamingo to find the number of flamingoes she needs to harvest: 2400 feathers / 5 feathers/flamingo = 480 flamingoes |
480 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "A frog lays 800 eggs a year. 10 percent dry up, and 70 percent are eaten. 1/4 of the remaining eggs end up hatching, how many frogs hatch out of the 800?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] Dried up:800(.10)=80 eggs |
800(.70)=560 eggs |
Total left:800-80-560=160 eggs |
160/4=40 eggs survive to hatch |
40 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Jim is a maintenance worker at a pool. Every time someone jumps in the pool, they cause 400 ml of water to splash out and evaporate. Jim has to get everyone out of the pool, clean, and refill it when it gets below 80% full. If the pool holds 2000 L of water, how many times can people jump in the pool before Jim has to clean it?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] First figure out how many liters of water are left in the pool when it's 80% full: 2000L * .8 = 1600 L |
Now subtract that amount from the pool's total capacity to find how much water can splash out before Jim has to refill it: 2000 L - 1600 L = 400 L |
Now multiply that amount by 1000 to convert it to milliliters: 400 L * 1000 ml/L = 400,000 ml |
Finally, divide that amount by the amount that splashes out with each jump to find the number of jumps before pool cleaning: 400,000 ml / 400 ml/jump = 1000 jumps |
1000 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "There are 30 players on a football team. The coach has 8 liters of water. She pours 200 milliliters of water for every player so they can get hydrated. Unfortunately, there was a water spill and 250ml of water was spilled. How much water was left over?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] The coach has 8 liters * 1000 ml/liter = 8,000 ml of water. |
She pours 200 ml/player x 30 players = 6,000 ml of water in total for all the athletes. |
The water spill means 6,000 ml + 250 ml = 6,250 ml of water was used. |
There was 8,000 ml - 6,250 ml = 1,750 ml of water left. |
1750 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Levi and his brother were playing basketball. Levi had scored 8 times and his brother had scored 12 times. Levi was determined to beat his brother by at least 5 baskets. How many more times does Levi have to score in order to reach his goal if his brother scores another 3 times?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] Altogether, Levi's brother scores 12 + 3 = 15 times. |
If Levi wants to beat him by 5, he needs to score a total of 15 + 5 = 20 times. |
Levi needs to score another 20 - 8 = 12 times. |
12 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Happy Cattle Ranch is home to 200 cows. Every year, the mother cows have enough calves that the number of cows the rancher owns rises by half the number of cows living on the ranch. If the rancher does not buy or sell any cows, how many cows will the rancher own on Happy Cattle Ranch in two years?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] In one year, the rancher will have 200 + 200/2 = 200 + 100 = 300 cows. |
In two years, the rancher will have 300 + 300/2 = 300 + 150 = 450 cows. |
450 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "A local farm is famous for having lots of double yolks in their eggs. One carton of 12 eggs had five eggs with double yolks. How many yolks were in the whole carton?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] The carton had 12 - 5 = 7 eggs with one yolk. |
It had 5 eggs with double yolks, which added * 2 = 10 yolks. |
Thus, there were 7 + 10 = 17 yolks in the whole carton. |
17 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Daisy is a poodle puppy who loves to play with her dog toys. She often loses them in various ways, and her owner needs to replace them. On Monday, Daisy played with 5 dog toys. On Tuesday, Daisy had 3 dog toys left after losing some, and her owner went to the store and got her 3 more. On Wednesday, all of Daisy's old and new dog toys were missing, so her owner went to the store and bought her 5 more. If Daisy's owner found all the lost dog toys, including the new dog toys, how many dog toys would Daisy have now?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] Daisy originally had 5 dog toys on Monday + 3 more her owner bought her on Tuesday = 8 dog toys. |
On Wednesday Daisy's owner bought her 5 more dog toys + 8 old ones = 13 total dog toys if none were lost. |
13 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Steve's new book sells 1,000,000 copies. He got an advance to pay for 100,000 copies. He gets $2 for each copy of the book sold. His agent takes 10% of that. How much money did he keep not counting the money from the advance?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] He sold 1,000,000-100,000=900,000 not counting the advance |
So he made 900,000*2=$1,800,000 from selling the books |
His agent took 1,800,000*.1=$180,000 |
That means he kept 1,800,000-180,000=$1,620,000 |
1620000 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Carlos and Diego are racing around the block. Carlos runs around the entire block in 3 minutes. Diego runs around half the block in 2.5 minutes and then is tripped by a dog and can't finish. Assuming he kept up the same speed the entire race, what would've been the average time in seconds for the racers?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] If he finished the race, it would've taken 5 minutes because 2.5 x 2 = 5 |
Their total time would've been 8 minutes because 3 + 5 = 8 |
The average would've been 4 minutes because 8 / 2 = 4 |
The average time in seconds would've been 240 because 4 x 60 = 240 |
240 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Jackie's favorite cosmetic company was offering free shipping when you spent $50.00. Jackie ordered her favorite shampoo and conditioner that each cost $10.00 a bottle and 3 bottles of lotion that cost $6.00 each. How much more money does Jackie need to spend to be eligible for free shipping?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] The shampoo and conditioner cost $10 each so 2*$10 = $20.00 |
3 bottles of lotion cost $6.00 each so 3*$6 = $18.00 |
So far she has spent $20+$18 = $38.00 |
You need to spend $50.00 for free shipping and she has spent $38.00 already so she needs to buy $50-$38 = $12.00 more in products |
12 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "A man is returning home from work and trying to decide which route to take. His first route option includes 3 stoplights. This route will take him 10 minutes if all three lights are green, but each light that is red will add 3 minutes to the trip. The second route does not include any stoplights and takes 14 minutes. If the man chooses the first route, how much longer will his trip be if all 3 stoplights are red?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] If all 3 stoplights are red, the first route will take 10 + 3*3 = 19 minutes. |
Thus, the first route will take 19-14 = 5 minutes longer than the second route. |
5 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = 72 cubic ft |
Then figure out what proportion of the aquarium is full after the cat knocks it over: 1/2 * 1/2 = 1/4 |
Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1/4 = 3/4 |
Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3/4 = 54 cubic ft |
54 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "Jack and Jill race up the hill to see who gets there fastest. Jack ran up the first half of the hill in 19 seconds. He finished running up the hill 7 seconds before Jill did. If Jill finished the race in 32 seconds, how long did it take Jack to run up the second half of the hill?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] Since Jack was faster than Jill, his total running time must have been 32 - 7 = 25 seconds. |
Subtracting the the time he spent running up the first half of the hill shows that it took 25 - 19 = 6 seconds to run up the second half of the hill. |
6 </s> |
<s>[INST] Can you write a short introduction about the relevance of the term "A group of bedbugs infested an old mattress. Every day, the number of bedbugs would triple. After four days, there were 810 bedbugs burrowing into the mattress. How many bedbugs did the group start with?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] On the third day, there were one-third of the number of bedbugs as the fourth day, so there were 810 / 3 = 270 bedbugs. |
On the second day, there were one-third of the third day鈥檚 bedbugs, so there were 270 / 3 = 90 bedbugs. |
On the first day, there were 90 / 3 = 30 bedbugs in the group to start with. |