2009 AMC 12B 第 2 题

先试着解答 2009 AMC 12B 第 2 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2009 AMC 12B 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

2.

油漆工 Paula 原本有刚好够刷 3030 间同样大小房间的油漆。不幸的是,在去工作的路上,有三罐油漆从卡车上掉了下来,所以她只剩下够刷 2525 间房间的油漆。她刷这 2525 间房间用了多少罐油漆?
Paula the painter had just enough paint for 3030 identically sized rooms. Unfortunately, on the way to work, three cans of paint fell off her truck, so she had only enough paint for 2525 rooms. How many cans of paint did she use for the 2525 rooms?
1010
1212
1515
1818
2525
答案:C
知识点:比与比例
小提示:
丢失的 33 罐油漆对应她少刷的 55 间房间。
The 33 lost cans account for the 55 rooms she can no longer paint
大提示:
油漆罐数与房间数的比是 3:53 : 5。
The ratio of cans to rooms is 3:53 : 5
解答:
丢失 33 罐使她少刷 55 间房间,所以 33 罐油漆能刷 55 间房间,每间房需要 35\dfrac{3}{5} 罐。
刷 2525 间房间需要 25⋅35=1525 \cdot \dfrac{3}{5} = 15 罐。
所以正确答案是 C。
Losing 33 cans cost her 55 rooms, so 33 cans paint 55 rooms and each room needs 35\dfrac{3}{5} of a can.
For 2525 rooms she used 25⋅35=1525 \cdot \dfrac{3}{5} = 15 cans.
Thus, the correct answer is C.
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