AMC10 2009 A

AMC10 2009 A · Q8

AMC10 2009 A · Q8. It mainly tests Percent.

Three generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a 50% discount as children. The two members of the oldest generation receive a 25% discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs $6.00, is paying for everyone. How many dollars must he pay?

温家三代人每代两人去电影院。最年轻一代两人作为儿童享受50%折扣。最年长一代两人作为老人享受25%折扣。中间一代两人无折扣。温爷爷的老人票价为6.00美元，他为所有人付款。他需要支付多少美元？

(A) 34 34

(B) 36 36

(D) 46 46

(E) 48 48

Answer

Correct choice: (B)

正确答案：（B）

Solution

Answer (B): Grandfather Wen’s ticket costs \$6, which is $\frac{3}{4}$ of the full price, so each ticket at full price costs $\frac{4}{3}\cdot 6=8$ dollars, and each child’s ticket costs $\frac{1}{2}\cdot 8=4$ dollars. The cost of all the tickets is $2(\$6+\$8+\$4)=\$36$.

答案（B）：温爷爷的票价是 \$6，这是全价的 $\frac{3}{4}$，所以全价票每张是 $\frac{4}{3}\cdot 6=8$ 美元，儿童票每张是 $\frac{1}{2}\cdot 8=4$ 美元。所有票的总费用是 $2(\$6+\$8+\$4)=\$36$。

Topics

AR.003 Percent