AMC12 2012 B

AMC12 2012 B · Q3

AMC12 2012 B · Q3. It mainly tests Linear equations, Word problems (algebra).

For a science project, Sammy observed a chipmunk and 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?

为了一个科学项目，Sammy 观察到一只花栗鼠和一只松鼠把橡子藏在洞里。花栗鼠在它挖的每个洞里藏 $3$ 个橡子。松鼠在它挖的每个洞里藏 $4$ 个橡子。它们藏的橡子总数相同，但松鼠所需的洞比花栗鼠少 $4$ 个。花栗鼠藏了多少个橡子？

(A) 30 30

(B) 36 36

(D) 48 48

(E) 54 54

Answer

Correct choice: (D)

正确答案：（D）

Solution

If $x$ is the number of holes that the chipmunk dug, then $3x=4(x-4)$, so $3x=4x-16$, and $x=16$. The number of acorns hidden by the chipmunk is equal to $3x = \boxed{\textbf{(D)}\ 48}$

设花栗鼠挖的洞数为 $x$，则 $3x=4(x-4)$，所以 $3x=4x-16$，从而 $x=16$。花栗鼠藏的橡子数为 $3x = \boxed{\textbf{(D)}\ 48}$

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