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UKMT Junior Mathematical Challenge, 2025

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Idil has $12$ bags of sweets. Some bags contain $3$ mints, $4$ toffees and a fudge; some bags contain $4$ mints, $5$ toffees and $2$ fudges; the remaining bags contain $6$ mints and $3$ fudges. The bags contain $31$ toffees in total. In total, how many fudges do the bags contain?

(A) $22$ (B) $23$ (C) $24$ (D) $25$ (E) $26$

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