2009 AMC 10A 第 7 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。

7.

一盒牛奶含 2%2\% 脂肪,这比一盒全脂牛奶所含脂肪少 40%40\%。全脂牛奶的脂肪百分比是多少?

A carton contains milk that is 2%2\% fat, an amount that is 40%40\% less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk?

125\dfrac{12}{5}

33

103\dfrac{10}{3}

3838

4242

答案:C
知识点:百分数一次方程
难度评级:960
解答:

设全脂牛奶含脂肪 x%x\%。因为 22xx40%40\%,所以 0.6x=2,0.6x = 2, 从而 x=20.6=103.x = \dfrac{2}{0.6} = \dfrac{10}{3}.

所以正确答案是 C

Let whole milk be x%x\% fat. Since 22 is 40%40\% less than x,x, we have 0.6x=2,0.6x = 2, so x=20.6=103.x = \dfrac{2}{0.6} = \dfrac{10}{3}.

Thus, the correct answer is C.

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