2022 AMC 8 第 11 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。
11.
驴 Henry 有一根很长的意大利面。他咬了若干口,每次都从某一段意大利面的中间吃掉 英寸。最后他有 段意大利面,总长度为 英寸。他最开始的那根意大利面长多少英寸?
Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating inches of pasta from the middle of one piece. In the end, he has pieces of pasta whose total length is inches. How long, in inches, was the piece of pasta he started with?
答案:D
解答:
从一整段变成 段,需要咬 口。咬了 口,每口吃掉 英寸,所以共吃掉 英寸。
已经吃掉 英寸,最后还剩 英寸,因此原长为 英寸。
正确答案是 D。
Since there are pieces, there were locations where a bite was made. Since we have bites and inches are removed per bite, a total of inches were removed.
With inches removed and inches remaining, we know we started with inches.
Thus, the correct answer is D.
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