2009 AMC 10B 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.

油漆工 Paula 原本刚好有足够油漆粉刷 3030 间同样大小的房间。不幸的是,在去上班的路上,有三桶油漆从她的卡车上掉了下来,所以她剩下的油漆只够粉刷 2525 间房。她粉刷这 2525 间房用了多少桶油漆?

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:比与比例速率
难度评级:870
解答:

丢失的 33 桶油漆本来可以粉刷 3025=530-25=5 间房,所以每间房需要 35\dfrac35 桶。

2525 间房需要 3525=15\dfrac35\cdot25=15 桶油漆。

所以正确答案是 C

The lost 33 cans would have painted 3025=530-25=5 rooms, so each room takes 35\dfrac35 of a can.

For 2525 rooms she used 3525=15\dfrac35\cdot25=15 cans.

Thus, the correct answer is C.

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