Q: Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?
A: If Eugene used all but 16 of the 52 cards, then he used 52 - 16 = 36 cards. If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450 / 75 = 6 cards. Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36 / 6 = 6 boxes of toothpicks. The answer is 6.
Question: An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of 100 fish, how many clownfish are now in the display tank?
Answer: There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = 50 blowfish. Since some stay in their tanks, there are 50 blowfish 26 blowfish = 24 blowfish in the display tank. There were the same amount of clownfish until 24 clownfish / 3 = 8 clownfish swam back to their own tank. This leaves 24 clownfish 8 clownfish = 16 clownfish in the display tank. The answer is 16.
[Question]Marcus can fit 5 pies in his oven at once. He bakes 7 batches of pies, then slips and drops 8 of them. How many pies are left?
[Answer]First find the total number of pies Marcus bakes: 5 pies / batch * 7 batches = 35 pies. Then subtract the number of pies Marcus drops: 35 pies - 8 pies = 27 pies. The answer is 27.
Q: Venny spent $15000 on a used car which cost 40% of the original price. What was the original price of the car?
A: Let x be the original price of the car. Then 40% * x = $15000. Thus x = $15000 / 0.4 = $37500. The answer is 37500.
Question: Lagoon island is populated by alligators. Half the alligators are male. The rest are female. Among the females, 40% are juveniles. There are 15 adult females. How many male alligators are there?
Answer: 60% of female alligators are adults because 100 - 40 = 60. There are 25 female alligators because 15 / .6 = 25. There are 50 alligators in total because 25 / .5 = 50. There are 25 male alligators because 50 / 2 = 25. The answer is 25.
Q: Anna has a certain number of phone chargers and five times more laptop chargers than phone chargers. If she has 24 chargers total, how many phone chargers does she have?
A:
Let p be the number of phone chargers Anna has and l be the number of laptop chargers. We know that l = 5p and l + p = 24. Substituting the first equation into the second equation, we get 5p + p = 24. Combining like terms, we get 6p = 24. Dividing both sides of the equation by 6, we get p = 4. The answer is 4.