When a pitcher is $\frac{1}{2}$ full it contains exactly enough water to fill three identical glasses. How full would the pitcher be if it had exactly enough water to fill four of the same glasses?
(A) $\frac{2}{3}$
(B) $\frac{7}{12}$
(C) $\frac{4}{7}$
(D) $\frac{6}{7}$
(E) $\frac{3}{4}$
When a pitcher is $\frac{1}{2}$ full it contains exactly enough water to fill three identical glasses. How full would the pitcher be if it had exactly enough water to fill four of the same glasses?
(A) $\frac{2}{3}$
(B) $\frac{7}{12}$
(C) $\frac{4}{7}$
(D) $\frac{6}{7}$
(E) $\frac{3}{4}$

## Solution

If three glasses of water are the same as $\frac{1}{2}$ a pitcher then one glass is the same as $\frac{1}{6}$ of the pitcher.

If there were four glasses of water in the pitcher, this would be the same as $\frac{4}{6}=\frac{2}{3}$ of a pitcher.

ANSWER: (A)