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AMO 2027 Grades 6-7 SET 15 - Self-study Question 3

AMO · AMO 2027 Grades 6-7 SET 15 - Self-study

Question 3

Mr. Nelson has 216 candies. He wanted to put them into packets so that he can sell it to his customer. List all possible numbers of candies that Mr. Nelson can put in each packet so that there are at least 4 and not more than 15 candies in each packet. Then, list the corresponding number of packets.

**Editorial note for this self-study exercise:** Use all 216 candies with no leftovers, and put the same number in every packet. Enter every pair as a:b, meaning candies per packet:number of packets, in increasing order of a; separate pairs by semicolons with no spaces.