Question: Luther designs clothes for a high fashion company. His latest line of clothing uses both silk and cashmere fabrics. There are ten pieces made with silk and half that number made with cashmere. If his latest line has thirteen pieces, how many pieces use a blend of cashmere and silk?
Answer with step-by-step thinking: Luther has 10 / 2 = 5 pieces made with cashmere. He has 13 - 10 = 3 pieces made without silk using only cashmere. Thus, Luther has 5 - 3 = 2 pieces made using a blend of cashmere and silk.
So the answer is 2.


Question: Billy is breeding mice for an experiment. He starts with 8 mice, who each have 6 pups. When the pups grow up, all the mice have another 6 pups. Then each adult mouse eats 2 of their pups due to the stress of overcrowding. How many mice are left?
Answer with step-by-step thinking: First find the number of pups in the first generation: 8 mice * 6 pups / mouse = 48 pups. Then add the number of adult mice to find the total number of mice: 48 pups + 8 mice = 56 mice. Then find the number of pups per mouse that survive from the second generation: 6 pups / mouse - 2 pups / mouse = 4 pups / mouse. Then multiply that number by the number of adult mice to find the number of pups in the second generation: 56 mice * 4 pups / mouse = 224 mice. Then add the number of adult mice to the number of second - generation pups to find the total number of mice: 224 mice + 56 mice = 280 mice.
So the answer is 280.


Question: George and Harry want to fill a pool with buckets. George can carry two buckets each round, and Harry can carry three buckets each round. If it takes 110 buckets to fill the pool, how many rounds will it take to fill the pool?
Answer with step-by-step thinking:
Each round 2 + 3 = 5 buckets will be filled. It will take 110 / 5 = 22 rounds.
So the answer is 22.