2009 AMC 12B 第 2 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。

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
难度评级:900
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。

2525 间房间需要 2535=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 2535=1525 \cdot \dfrac{3}{5} = 15 cans.

Thus, the correct answer is C.

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