AMC8 2013

AMC8 2013 · Q12

AMC8 2013 · Q12. It mainly tests Fractions, Percent.

At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save?

在2013年Winnebago县博览会上，一位摊贩推出凉鞋“博览会特价”。如果你以50美元的常规价格购买一双凉鞋，你可以以40%折扣获得第二双，以半价获得第三双。Javier利用“博览会特价”购买了三双凉鞋。他节省了150美元常规价格的百分之多少？

(A) 25 25

(B) 30 30

(D) 40 40

(E) 45 45

Answer

Correct choice: (B)

正确答案：（B）

Solution

First, find the amount of money one will pay for three sandals without the discount. We have $\textdollar 50\times 3 \text{ sandals} = \textdollar 150$. Then, find the amount of money using the discount: $50 + 0.6 \times 50 + \frac{1}{2} \times 50 = \textdollar 105$. Finding the percentage yields $\frac{105}{150} = 70 \%$. To find the percent saved, we have $100 \% -70 \%= \boxed{\textbf{(B)}\ 30 \%}$

首先，计算不打折购买三双凉鞋的金额。$50\times 3$ 双 = $150$。然后，计算打折后的金额：$50 + 0.6 \times 50 + \frac{1}{2} \times 50 = $105$。支付百分比为 $\frac{105}{150} = 70\%$。节省百分比为 $100\% -70\%= \boxed{\textbf{(B)}\ 30 \%}$

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