Question

为了一个科学项目，Sammy 观察了一只花栗鼠和一只松鼠把橡子藏进洞里。花栗鼠在它挖的每个洞里藏了 $3$ 颗橡子。松鼠在它挖的每个洞里藏了 $4$ 颗橡子。它们各自藏了相同数量的橡子，不过松鼠少用了 $4$ 个洞。花栗鼠藏了多少颗橡子？

For a science project, Sammy observed a chipmunk and a squirrel stashing acorns in holes. The chipmunk hid $3$ acorns in each of the holes it dug. The squirrel hid $4$ acorns in each of the holes it dug. They each hid the same number of acorns, although the squirrel needed $4$ fewer holes. How many acorns did the chipmunk hide?

$30$

$36$

$42$

$48$

$54$

答案：D

知识点：一次方程

难度评级：860

解答：

设花栗鼠挖了 $h$ 个洞。花栗鼠藏了 $3h$ 颗橡子，松鼠藏了 $4(h-4)$ 颗橡子。

因为它们藏的橡子数量相同， $3h=4(h-4)$ ，解得 $h=16$ 。

花栗鼠藏了 $3\cdot16=48$ 颗橡子。

因此正确答案是 D。

Let $h$ be the number of holes the chipmunk dug. The chipmunk hid $3h$ acorns and the squirrel hid $4(h-4)$ acorns.

Since they hid the same number, $3h=4(h-4),$ which gives $h=16.$

The chipmunk hid $3\cdot16=48$ acorns.

Thus, the correct answer is D.

2012 AMC 12B 第 3 题

答案：D

难度评级：860

解答：

其他年份的第 3 题