Starting with some gold coins and some empty treasure chests, I tried to put 9 gold coins in each treasure chest, but that left 2 treasure chests empty. So instead I put 6 gold coins in each treasure chest, but then I had 3 gold coins left over. How many gold coins did I have?
A. 9
B. 27
C. 45
D. 63
E. 81

Surplus and deficit problems中文
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Worked solution

1. 2017 AMC 8 官方解析

翻译：有一些金币和空盒子，如果每个盒子中放入9枚金币，金币装完后，剩下两个空盒子．
如果每个盒子里面放入6枚金币，最后还剩下3枚金币．那么，一共（　）枚金币？
盈亏问题，每盒9枚，少 2×9=182 \times 9 = 18（枚）金币，每盒6枚，多3枚，所以共有
(18+3)÷(9−6)=7(18 + 3) \div (9 - 6) = 7（个）盒子，金币共 7×6+3=457 \times 6 + 3 = 45（枚）．

Answer

C. 45

AI analysis — may contain mistakes.

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