2003 AMC 12A Problem 2

Attempt Problem 2 of the 2003 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 12A solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

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
Answer: B
Concepts:moneylinear equation
Small hint:
A T-shirt costs $4+$5=$9\$4+\$5=\$9
Big hint:
Each member buys two pairs of socks and two shirts
Solution:
A T-shirt costs 4+5=94+5=9 dollars.
Each member needs two pairs of socks and two shirts, costing 2(4)+2(9)=262(4)+2(9)=26 dollars.
The number of members is 2366÷26=91.2366 \div 26 = 91.
Thus, the correct answer is B.
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