AMC 8 2025 Problem 22
AMC8 2025 年第 22 题
特殊数与不定方程★★★★☆
A classroom has a row of 35 coat hooks. Paulina likes coats to be equally spaced, so that there is the same number of empty hooks before the first coat, after the last coat, and between every coat and the next one. Suppose there is at least 1 coat and at least 1 empty hook. How many different numbers of coats can satisfy Paulina's pattern?
教室里有一排35个衣钩。Paulina希望衣服之间的间隔相等，使得第一件衣服前、最后一件衣服后以及每两件衣服之间的空衣钩数量相同。假设至少有1件衣服且至少有1个空衣钩。请问有多少种不同的衣服数量可以满足Paulina的要求？
- A.2
- B.4
- C.5
- D.7
- E.9
正确答案 · Correct Answer
D
解析 · Solution
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