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AMO 2027 Grades 8-9 SET 16 - Self-study Question 15

AMO · AMO 2027 Grades 8-9 SET 16 - Self-study

Question 15

Example 9. 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 input convention:** Use equal-sized packets, use all 216 candies and leave none over. Enter all pairs (candies per packet,number of packets) in increasing first-coordinate order, with parentheses, commas inside pairs and semicolons between pairs. Use no spaces. Format example, not the answer: (2,10);(4,5).