2009 AMC 10A 第 8 题

Question

Wen 家三代人去看电影，每一代有两人。最年轻一代的两人作为儿童享受

50\%

折扣。最年长一代的两人作为老人享受

25\%

折扣。中间一代的两人没有折扣。Wen 祖父的一张老人票价为

\$6.00

，他要为所有人付钱。他一共要付多少美元？

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?

34

36

42

46

48

老人票是全价的

75\%

，所以先求全价。

A senior ticket is

75\%

of the full price, so find the full price first

加上两张老人票、两张全价票和两张儿童票。

Add two senior, two full, and two child tickets

老人票价为

\$6

，这是全价的

\dfrac34

，所以全价票为

\dfrac43 \cdot 6 = \$8

，儿童票为

\dfrac12 \cdot 8 = \$4

。

总价为

2(6 + 8 + 4) = \$36\text{。}

所以正确答案是 B。

The senior ticket costs

\$6,

which is

\dfrac34

of the full price, so a full ticket costs

\dfrac43 \cdot 6 = \$8,

and a child ticket costs

\dfrac12 \cdot 8 = \$4.

The total is

2(6 + 8 + 4) = \$36.

Thus, the correct answer is B.

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