2003 AMC 10A 第 2 题

先试着解答 2003 AMC 10A 第 2 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2003 AMC 10A 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

2.

罗克汉姆足球联赛的成员购买袜子和 T 恤。袜子每双 $4\$4,每件 T 恤比一双袜子贵 $5\$5。每位成员主场比赛需要一双袜子和一件 T 恤,客场比赛也需要一双袜子和一件 T 恤。如果总费用为 $2366\$2366,联盟共有多少名成员?
Members of the Rockham Soccer League buy socks and T-shirts. Socks cost $4\$4 per pair and each T-shirt costs $5\$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,\$2366, how many members are in the League?
7777
9191
143143
182182
286286
答案:B
知识点:钱币比与比例
小提示:
一件 T 恤价格为 $4+$5=$9\$4 + \$5 = \$9。
A T-shirt costs $4+$5=$9\$4 + \$5 = \$9
大提示:
每位成员需要两双袜子和两件 T 恤。
Each member needs two pairs of socks and two shirts
解答:
每件 T 恤价格为 $4+$5=$9\$4 + \$5 = \$9。
每位成员需要两双袜子和两件 T 恤,费用为 2⋅4+2⋅9=$262 \cdot 4 + 2 \cdot 9 = \$26。
成员数为 2366÷26=912366 \div 26 = 91。
所以正确答案是 B。
Each T-shirt costs $4+$5=$9.\$4 + \$5 = \$9.
Each member needs two pairs of socks and two shirts, costing 2⋅4+2⋅9=$26.2 \cdot 4 + 2 \cdot 9 = \$26.
The number of members is 2366÷26=91.2366 \div 26 = 91.
Thus, the correct answer is B.
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