Carlos bought a box of 50 chocolates. 3 of them were caramels and twice as many were nougats. The number of truffles was equal to the number of caramels plus 6. The rest of the chocolates were peanut clusters. If Carlos picks a chocolate at random, what is the percentage chance it will be a peanut cluster? Give the rationale and then the answer.
Let's think step by step. First find the number of nougats by doubling the number of caramels: 3 caramels * 2 nougats / caramel = 6 nougats. Then find the number of truffles by adding 7 to the number of caramels: 3 caramels + 6 = 9 truffles. Then find the number of peanut clusters by subtracting the number of each other chocolate from the total number of chocolates: 50 chocolates - 3 caramels - 6 nougats - 9 truffles = 32 peanut clusters. Finally, divide the number of peanut clusters by the total number of chocolates and multiply by 100% to find the percentage chance he gets a peanut cluster: 32 peanut clusters / 50 chocolates * 100% = 64%.. The answer is: 64.

If a circle has a radius of 14 feet, how many 6-inch pencils can be placed end-to-end across the diameter of the circle? Give the rationale and then the answer.
Let's think step by step. A circle with a radius of 14 feet has a diameter of 2 * 14 = 28 feet. A six - inch pencil is 6 / 12 = 0.5 feet long. Thus, across a 28 - foot diameter, one can place 28 / 0.5 = 56 6 - inch pencils.. The answer is: 56.

Bo is learning words for the GRE. He got 800 flashcards. He knew 20% of the words on them. He has 40 days to learn the rest. How many words does he need to learn a day? Give the rationale and then the answer.
Let's think step by step. He knows 800 * .2 = 160 words. So he needs to learn 800 - 160 = 640 words. That means he needs to learn 640 / 40 = 16 words per day.. The answer is: 16.