Pass the Candy!
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|Difficulty:|| (2.26) |
A group of 9 friends have a package of 40 W&W's chocolate candies to share. They each, one at a time, take a prime number of W&W's to eat. After that, the bag is empty. Exactly four of the friends took a number of W&W's that had previously been taken by someone else. Of the group, the number of people who took exactly 5 is twice the number of people who wear glasses.
Without any regard to the order in which they were taken, what individual quantities of W&W's were taken?
Hint:Even though no information is given about how many people are wearing glasses, the last statement is actually completely relevant, and in fact crucial! What does it tell you about the number of people who took 5 pieces?
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