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 $T$.

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 $T$.
