2024 AMC 8 第 9 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。
9.
Maria 收藏的弹珠全是红色、绿色或蓝色。红色弹珠数量是绿色的一半，蓝色弹珠数量是绿色的两倍。下列哪个数可能是 Maria 收藏弹珠的总数？
All of the marbles in Maria’s collection are red, green, or blue. Maria has half as many red marbles as green marbles and twice as many blue marbles as green marbles. Which of the following could be the total number of marbles in Maria’s collection?
小提示：
若红色有 个，则绿色有 个
If red is , then green is
大提示：
蓝色是绿色的两倍，所以总数是 的倍数
Blue is twice green, so the total is a multiple of
视频讲解：
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文字解答：
设 Maria 有 个红色弹珠。红色是绿色的一半，所以绿色有 个；蓝色是绿色的两倍，所以蓝色有 个。总数为 ，必须是 的倍数。选项中只有 是 的倍数。
正确答案是 E。
We can let be the number of red marbles that Maria has. Since Maria has half as many red marbles as green, then we know that she has green marbles. Moreover, since she has twice as many blue marbles as green, then she will have blue marbles. Adding these together gives us and so the answer must be a multiple of Among the answer choices, only is a multiple of
Thus, E is the correct answer.
其他年份的第 9 题
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