AMC 8 2005 Problem 5
AMC8 2005 年第 5 题
特殊数与不定方程★★☆☆☆
Soda is sold in packs of 6, 12 and 24 cans. What is the minimum number of packs needed to buy exactly 90 cans of soda?
苏打水以 6 罐、12 罐和 24 罐的包装出售。则购买 90 罐苏打水所需的最少包装数量是多少？
- A.4
- B.5
- C.6
- D.8
- E.15
正确答案 · Correct Answer
B
解析 · Solution
Solution 1
Start by buying the largest packs first. After three 24 -packs, 90-3(24)=18 cans are left. After one 12 -pack, 18-12=6 cans are left. Then buy one more 6 -pack. The total number of packs is 3+1+1=5.
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