2012 AMC 12B 第 3 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。
3.
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 颗橡子。松鼠在它挖的每个洞里藏了 颗橡子。它们各自藏了相同数量的橡子，不过松鼠少用了 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 acorns in each of the holes it dug. The squirrel hid acorns in each of the holes it dug. They each hid the same number of acorns, although the squirrel needed fewer holes. How many acorns did the chipmunk hide?
答案：D
小提示：
设花栗鼠挖了 个洞，则松鼠挖了 个洞
Let be the number of holes the chipmunk dug, so the squirrel dug
大提示：
橡子总数相等，得到
The equal totals give
解答：
设花栗鼠挖了 个洞。花栗鼠藏了 颗橡子，松鼠藏了 颗橡子。
因为它们藏的橡子数量相同，，解得 。
花栗鼠藏了 颗橡子。
因此正确答案是 D。
Let be the number of holes the chipmunk dug. The chipmunk hid acorns and the squirrel hid acorns.
Since they hid the same number, which gives
The chipmunk hid acorns.
Thus, the correct answer is D.
其他年份的第 3 题
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