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2003 AMC 12A Problem 2

Problem 2 of 25EasierAlgebraArithmetic

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?

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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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