Q: There was only enough room for 21 people on a raft if no one wore life jackets. There were 7 fewer people who could fit on the raft if everyone wore life jackets. If 8 people on the raft needed life jackets, how many people could fit on the raft?
A: If everyone wore life jackets, only 21 - 7 = 14 people could fit on the raft. For every person less on the raft, 14 / 7 = 2 life jackets could fit. For 8 life jackets, 8 / 2 = 4 less people could fit. 21 - 4 = 17 people could fit on the raft. The answer is 17.
Question: Three frogs are trying to hop across the road. The first frog takes 4 times as many hops as the second. The second frog takes twice as many as the third. If the three frogs took a total of 99 hops, how many hops did it take the second frog to cross the road?
Answer: Let x represent the number of hops it took the third frog. The second frog:2x. First frog:4(2x) = 8x. Total:x + 2x + 8x = 99. 11x = 99. x = 9. Second frog:2(9) = 18 hops. The answer is 18.
[Question]Andrea needs 45 rhinestones to finish an art project. She bought a third of what she needed and found a fifth of what she needed in her supplies. How many rhinestones does she still need?
[Answer]Andrea bought 45 / 3 = 15 rhinestones. She found 45 / 5 = 9 rhinestones in her supplies. Thus, Andrea still needs 45 - 15 - 9 = 21 rhinestones. The answer is 21.
Q: Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How much should each pay in tips if they want to split a 20% tip for the whole meal evenly?
A: First, we need to determine how much the entire meal costs before we can determine the tip. We perform 10 + 20 + 30 = 60 dollars worth of food. Now we need to find out how much the total tip to be paid is, by multiplying 60 * .2 = 12 dollars in tips. Since they want to split this evenly amongst three people, this works out to 12 / 3 = 4 dollars in tips per person. The answer is 4.
Question: Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought six times as many packs of construction paper as Allison. If Marie bought 15 glue sticks and 30 packs of construction paper how many craft supply items did Allison buy all together?
Answer: Allison bought 8 + 15 = 23 glue sticks. Allison bought 30 / 6 = 5 packs of construction paper. Allison bought 23 + 5 = 28 craft supply items. The answer is 28.
Q: Jan is making candy necklaces for herself and a few friends. Everyone receives a candy necklace each and each candy necklace is made up of 10 pieces of candies. The pieces of candies come from blocks of candy, which each produce 30 pieces of candy. If Jan breaks down 3 blocks of candy and every single piece of candy from this is used in the candy necklaces, how many friends receive a candy necklace?
A:
There are a total of 3 blocks of candy * 30 pieces of candy per candy block = 90 pieces of candy. Using this, Jan can create 90 pieces of candy / 10 pieces of candy per candy necklace = 9 candy necklaces. As Jan is keeping a candy necklace too, there must have been enough candy necklaces for 9 candy necklaces 1 candy necklace for Jan = 8 friends. The answer is 8.