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VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study Question 19

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 1 - Self-study

Question 19

Alcohol strength in degrees describes the volume of pure alcohol in $100$ ml of a mixture of pure alcohol and water. For example, Bầu Đá liquor at $55^\circ$ contains $55$ ml of pure alcohol and $45$ ml of water per $100$ ml.

A mixer wants to reduce the strength of a bottle from $55^\circ$ to $T^\circ$. Either adding $v$ units of water or removing $v$ units of pure alcohol from the original bottle gives that same strength $T^\circ$. Find $T$.

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