2020 AMC 8 第 8 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
8.
里卡多有 枚硬币，其中一些是 美分硬币，其余是 美分硬币。他至少有一枚一美分硬币，也至少有一枚五美分硬币。里卡多可能拥有的钱数最大值与最小值相差多少美分？
Ricardo has coins, some of which are pennies (-cent coins) and the rest of which are nickels (-cent coins). He has at least one penny and at least one nickel. What is the difference in cents between the greatest possible and least possible amounts of money that Ricardo can have?
小提示：
先保证每种硬币至少留一枚
Leave one coin of each type fixed
大提示：
把一枚一分硬币换成一枚五分硬币会增加 分
Changing one penny to one nickel changes the value by cents
视频讲解：
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文字解答：
最大金额对应 枚五美分硬币和 枚一美分硬币；最小金额对应 枚五美分硬币和 枚一美分硬币。
从第二种情况变到第一种情况，共把 枚一美分硬币换成五美分硬币。每次替换增加 美分，所以差为 美分。
所以正确答案是 C。
The greatest value occurs with nickels and penny, while the least occurs with nickel and pennies.
Between these two cases, pennies have been replaced by nickels. Each replacement adds cents, so the difference is cents.
Thus, the correct answer is C.
其他年份的第 8 题
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