Question: In a fruit salad, there are raspberries, green grapes, and red grapes. There are seven more than 3 times the number of red grapes as green grapes. There are 5 less raspberries than green grapes. If there are 102 pieces of fruit in the salad, how many red grapes are in the salad?
Answer: Green grapes = G. Red grapes = 3G + 7. Raspberries = G - 5. G + 3G + 7 + G - 5 = 102. 5G + 2 = 102. 5G = 100. G = 20. 3 * 20 + 7 = 67. There are 67 red grapes. The answer is 67.
[Question]Dani has 3 cats; Binkie, Frankie and Spaatz. Each cat has a collar decorated with gemstones. Binkie has four times as many gemstones on his collar as does Frankie but Spaatz has two less than half as many gemstones on her collar as does Frankie. If Spaatz has 1 Gemstone on her collar, how many gemstones does Binkie have on his collar?
[Answer]If Spaatz has 2 less than half the number of gemstones as does Frankie, then half as many as Frankie is 1 + 2 = 3 gemstones. If 3 is half the number of gemstones on Frankie's collar, then Frankie has 3 * 2 = 6 gemstones. If Binkie has 4 times as many gemstones as Frankie, then Binkie has 4 * 6 = 24. The answer is 24.
Q: There are 480 zombies in the shopping mall. If the number of zombies doubled every day, how many days ago were there less than 50 zombies in the mall?
A: First find how many zombies there were one day ago: 480 zombies / 2 = 240 zombies. Then find how many zombies there were two days ago: 240 zombies / 2 = 120 zombies. Then find the number of zombies there were three days ago: 120 zombies / 2 = 60 zombies. Then find the number of zombies there were four days ago: 60 zombies / 2 = 30 zombies, which is less than 50, so there were less than 50 zombies 4 days ago. The answer is 4.
Question: Annie went to a liquidation sale and bought 5 televisions that each cost $50. She also purchased 10 figurines. If Annie spent $260 in total, how much did a single figurine cost in dollars?
Answer: Annie spent 5 * $50 = $250 on televisions. She has $260 - $250 = $10 left for the 10 figurines. A single figurine costs $10 / 10 = $1. The answer is 1.
[Question]Paul is collecting license plates from different states. He has plates from 40 different states. For each percentage point of total US states that he has, his parents will give him $2. How much does he earn from them?
[Answer]The proportion of plates that he has out of total states is .8 because 40 / 50 = .8. He has 80% of the plates because .8 x 100 = 80. He makes $160 because 80 x 2 = 160. The answer is 160.
[Question]Bill and Ted head to the river to throw stuff into the water. Bill throws 6 more sticks into the river than Ted does, but Ted tosses twice as many rocks into the river as Bill. If Ted tosses 10 sticks and 10 rocks into the river, how many objects did Bill toss into the river?
[Answer]
Bill throws 10 + 6 = 16 sticks into the river. Bill throws 10 / 2 = 5 rocks into the river. Bill throws 16 + 5 = 21 objects in total into the river. The answer is 21.