olymmath

HMMT 2003 U21

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rr and ss are integers such that

3r≥2s−3 and 4s≥r+12.3 r \geq 2 s-3 \text { and } 4 s \geq r+12 .

What is the smallest possible value of r/sr / s ?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{2}

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