Question

Sammy 做科学项目时观察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三颗橡子，松鼠在它挖的每个洞里藏四颗橡子。它们藏的橡子总数相同，但松鼠少用了四个洞。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：一次方程分数

难度评级：1020

解答：

设两者各藏了 $x$ 颗橡子。花栗鼠用了 $\dfrac x3$ 个洞，松鼠用了 $\dfrac x4$ 个洞。

两者所用洞数之差为四，所以解得 $x=48$ 。 $\dfrac x3 - \dfrac x4 = \dfrac{x}{12}= 4$

所以正确答案是 D。

Let the number of acorns they each hid be $x.$ Then, the number of holes from the chipmunk is $\dfrac x3$ and the number of holes from the squirrel is $\dfrac x4 .$

This means $\dfrac x3 - \dfrac x4 = \dfrac{x}{12}= 4$ Therefore, $x=48.$

Thus, the correct answer is D .

2012 AMC 10B 第 7 题

答案：D

难度评级：1020

解答：

其他年份的第 7 题