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UKMT Senior Mathematical Challenge, 2025

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A 'complete' football kit consists of a shirt, a pair of shorts and a pair of socks. Three pairs of shorts and one pair of socks together cost the same as two shirts. Seven pairs of shorts and four pairs of socks together cost the same as five shirts. Eden has exactly the right amount of money to buy nine shirts. How many 'complete' football kits could be bought for the same amount of money?

(A) $3$ (B) $4$ (C) $5$ (D) $6$ (E) $7$

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