Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
Answer: At a rate of 8 degrees per hour, in three hours the temperature rose by 3 * 8 = 24 degrees. At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24 / 4 = 6 hours. The answer is 6.
[Question]John and Yasmin's dad is named Gabriel. 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. The answer is 2.
Q: Jerry finds six hawk feathers and 17 times as many eagle feathers as hawk feathers. If he gives 10 feathers to his sister and sells half the remaining feathers, how many does he have left?
A: First find how many eagle feathers he found: 17 * 6 feathers = 102 feathers. Then add the number of hawk feathers he found: 102 feathers + 6 feathers = 108 feathers. Then subtract the number of feathers Jerry gave to his sister: 108 feathers - 10 feathers = 98 feathers. Then divide that number by 2 to find how many feathers Jerry has left: 98 feathers / 2 = 49 feathers. The answer is 49.
Question: On a particular day, Rose's teacher read the register and realized there were twice as many girls as boys present on that day. The class has 250 students, and all the 140 girls were present. If all the absent students were boys, how many boys were absent that day?
Answer: If there were twice as many girls as boys present that day, then the number of boys is 140 girls / 2 girls / boy = 70 boys. The total number of students present that day is 140 girls + 70 boys = 210 students. If the class has 250 students, then the number of boys absent is 250 students - 210 students = 40 boys. The answer is 40.
[Question]James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list?
[Answer]John has 75 * 3 = 225 people on his friends list. So that means there are 225 + 75 = 300 people on the list. So once you remove duplicates there are 300 - 25 = 275 people. The answer is 275.
[Question]Tom decides to open a theater. He knows it will cost $5 per square foot of space that he needs and he needs 12 square feet for every seat in his theater. He wants a 500 seat theater. He also realizes construction will cost twice as much as the land. He has a partner who covers 40% of the cost. How much does Tom spend?
[Answer]
He needs 500 * 12 = 6000 square feet. This means it cost $5 * 6000 = $30,000. That means construction comes to $30000 * 2 = $60,000. So the total cost is $60000 + $30000 = $90,000. His partner covers $90,000 * .4 = $36,000. So he has to pay $90,000 - $36,000 = $54,000. The answer is 54000.