AMC12 2003 A

AMC12 2003 A · Q2

AMC12 2003 A · Q2. It mainly tests Fractions, Money / coins.

Members of the Rockham Soccer League buy socks and T-shirts. Socks cost \$4 per pair and each T-shirt costs \$5 more than a pair of socks. Each member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games. If the total cost is \$2366, how many members are in the League?

Rockham 足球联盟的成员购买袜子和 T 恤。袜子每双 $4 美元，每件 T 恤比一双袜子贵 $5 美元。每位成员需要一双袜子和一件上衣用于主场比赛，另外还需要一双袜子和一件上衣用于客场比赛。若总费用为 $2366 美元，联盟共有多少名成员？

(A) 77 77

(B) 91 91

(D) 182 182

(E) 286 286

Answer

Correct choice: (B)

正确答案：（B）

Solution

Since T-shirts cost $5$ dollars more than a pair of socks, T-shirts cost $5+4=9$ dollars. Since each member needs $2$ pairs of socks and $2$ T-shirts, the total cost for $1$ member is $2(4+9)=26$ dollars. Since $2366$ dollars was the cost for the club, and $26$ was the cost per member, the number of members in the League is $2366\div 26=\boxed{\mathrm{(B)}\ 91}$.

由于 T 恤比一双袜子贵 $5$ 美元，而袜子每双 $4$ 美元，所以 T 恤价格为 $5+4=9$ 美元。每位成员需要 $2$ 双袜子和 $2$ 件 T 恤，因此 1 位成员的总费用为 $2(4+9)=26$ 美元。俱乐部总费用为 $2366$ 美元，每位成员费用为 $26$ 美元，所以联盟成员人数为 $2366\div 26=\boxed{\mathrm{(B)}\ 91}$。

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