Question

Harold 做了一个李子派去野餐。他只吃了 $\frac{1}{4}$ 个派，把剩下的留给朋友。一只驼鹿经过，吃掉了 Harold 留下部分的 $\frac{1}{3}$ 。之后，一只豪猪又吃掉了驼鹿留下部分的 $\frac{1}{3}$ 。豪猪离开后，原来的派还剩多少？

Harold made a plum pie to take on a picnic. He was able to eat only $\frac{1}{4}$ of the pie, and he left the rest for his friends. A moose came by and ate $\frac{1}{3}$ of what Harold left behind. After that, a porcupine ate $\frac{1}{3}$ of what the moose left behind. How much of the original pie still remained after the porcupine left?

$\dfrac{1}{12}$

$\dfrac{1}{6}$

$\dfrac{1}{4}$

$\dfrac{1}{3}$

$\dfrac{5}{12}$

答案：D

知识点：分数

难度评级：900

视频讲解：

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文字解答：

Harold 后剩下 $1 - \frac{1}{4} = \frac{3}{4}$ 。

驼鹿吃掉其中 $\frac{1}{3} \cdot \frac{3}{4} = \frac{1}{4}$ ，所以剩下 $\frac{3}{4} - \frac{1}{4} = \frac{1}{2}$ 。

豪猪再吃掉剩余的 $\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}$ ，所以最后剩下 $\frac{1}{2} - \frac{1}{6} = \frac{1}{3}$ 。

所以正确答案是 D。

Harold left $1 - \frac{1}{4} = \frac{3}{4}$ of the pie for his friends.

The moose ate $\frac{1}{3} \cdot \frac{3}{4} = \frac{1}{4}$ of the pie, leaving $\frac{3}{4} - \frac{1}{4} = \frac{1}{2}$ of the pie.

Finally, the porcupine ate $\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}$ of the pie. This leaves $\frac{1}{2} - \frac{1}{6} = \frac{1}{3}$ of the pie.

Thus, D is the correct answer.

2023 AMC 8 第 10 题

答案：D

难度评级：900

视频讲解：

文字解答：

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