For a project, a builder purchased 7 boxes of bolts with each box containing 11 bolts. He purchased 3 boxes of nuts with each box containing 15 nuts. He ended up finishing the project 6 days early and with 3 bolts and 6 nuts left over. How many bolts and nuts did he use for the project? Give the rationale and then the answer.
Let's think step by step. The builder purchased 7 boxes * 11 bolts = 77 bolts. He used 77 bolts - 3 left over = 74 bolts for the project. The builder purchased 3 boxes * 15 nuts = 45 nuts. He used 45 nuts - 6 left over = 39 nuts for the project. Total for the project he used 74 bolts + 39 nuts = 113 nuts and bolts.. The answer is: 113.

Kris is blowing u balloons for her sister's party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother's help to increase the number of balloons. Kris can blow up a total of 2 balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up? Give the rationale and then the answer.
Let's think step by step. Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = 60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = 4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = 60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute * 2 = 8 balloons per minute. In the second 15 minutes, Kris' brother therefore blows up 8 balloons per minute * 15 minutes = 120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = 180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris' brother = 240 balloons.. The answer is: 240.

Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has 600 meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make? Give the rationale and then the answer.
Let's think step by step. Alex gives his friends a total of 5 friends * 20 meters of silk = 100 meters of silk. This means he has 600 100 = 500 meters of silk left in storage. He can therefore make 500 meters of silk / 5 meters of silk per dress = 100 dresses.. The answer is: 100.