2007 AMC 10A 第 7 题

Question

去年 John Q. Public 先生收到一笔遗产。他对这笔遗产支付了

20\%

的联邦税，又对剩下的钱支付了

10\%

的州税。两种税合计为

\$10{,}500

。这笔遗产是多少美元？

Last year Mr. John Q. Public received an inheritance. He paid

20\%

in federal taxes on the inheritance, and paid

10\%

of what he had left in state taxes. He paid a total of

\$10{,}500

for both taxes. How many dollars was the inheritance?

30{,}000

32{,}500

35{,}000

37{,}500

40{,}000

答案：D

知识点：百分数一次方程

难度评级：1070

小提示：

联邦税后，遗产还剩

80\%

。

After federal tax,

80\%

of the inheritance remains

大提示：

州税是这

80\%

的

10\%

，所以总税额是遗产的

20\% + 8\%

。

The state tax is

10\%

of that

80\%,

so the total tax is

20\% + 8\%

of the inheritance

解答：

联邦税后，Public 先生保留遗产的

80\%

。

州税取这部分的

10\%

，即遗产的

8\%

。

总税额为遗产的

20\% + 8\% = 28\%

，所以遗产为

\dfrac{10{,}500}{0.28} = 37{,}500\text{。}

所以正确答案是 D。

After federal taxes, Mr. Public keeps

80\%

of his inheritance.

State taxes take

10\%

of that, which is

8\%

of the inheritance.

The total tax is

20\% + 8\% = 28\%

of the inheritance, so the inheritance is

\dfrac{10{,}500}{0.28} = 37{,}500.

Thus, the correct answer is D.

2007 AMC 10A 第 7 题

答案：D

难度评级：1070

小提示：

大提示：

解答：

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