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.

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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
Difficulty rating: 1020
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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