2017 AMC 8 第 17 题
先试着解答 2017 AMC 8 第 17 题，然后核对你的答案与视频与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2017 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
17.
我有一些金币和一些空宝箱。我试着每个宝箱放 枚金币，但这样会剩下 个宝箱空着。于是我改为每个宝箱放 枚金币，但这样会剩下 枚金币。我有多少枚金币？
Starting with some gold coins and some empty treasure chests, I tried to put gold coins in each treasure chest, but that left treasure chests empty. So instead I put gold coins in each treasure chest, but then I had gold coins left over. How many gold coins did I have?
答案：C
小提示：
设宝箱数为
Let be the number of treasure chests.
大提示：
为每箱 枚的尝试和每箱 枚的尝试分别写方程
Write one equation for the -coins attempt and another for the -coins attempt.
视频讲解：
Click to load, then click again to play
文字解答：
设宝箱数为 ，金币数为 。那么 且 解这个方程组得 ，所以金币数为 。
所以正确答案是 C。
Let be the number of treasure chests and be the number of gold coins. Then and Solving this system yields so the number of gold coins is
Thus, C is the correct answer.
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