Water is poured from a full $1.5 \mathrm{~L}$ bottle into an empty glass until both the glass and the bottle are $\frac{3}{4}$ full. What is the volume of the glass?
(A) $0.5 \mathrm{~L}$
(B) $0.75 \mathrm{~L}$
(C) $1.125 \mathrm{~L}$
(D) $0.6 \mathrm{~L}$
(E) $0.4 \mathrm{~L}$
Solution I

When the pouring stops, $\frac{1}{4}$ of the water in the bottle has been transferred to the glass. This represents $\frac{3}{4}$ of the volume of the glass. Therefore, the volume of the bottle is three times the volume of the glass, so the volume of the glass is $0.5 \mathrm{~L}$.

## Solution 2

When the pouring stops, $\frac{1}{4}$ of the water in the bottle or $\frac{1}{4} \times 1.5=0.375 \mathrm{~L}$ of water is in the glass. Since this represents $\frac{3}{4}$ of the volume of the glass, then the volume of the glass is $\frac{4}{3} \times 0.375=0.5 \mathrm{~L}$.

Answer: (A)