# fractions problem

• Apr 24th 2010, 05:09 PM
mjoshua
fractions problem
A container is $\frac {1}{8}$ full of liquid. After 10 cups of liquid are added, the container is $\frac {3}{4}$ full. What is the volume of the container in cups?

Can't seem to figure out why it's 16.
• Apr 24th 2010, 06:35 PM
Let $V$ be the volume of the container in cups. Then what you have asserted means that $\frac18V + 10 = \frac34 V$, so, rearranging, $V = 10 / (\frac34-\frac18) = 16$.
A container is $\frac {1}{8}$ full of liquid. After 10 cups of liquid are added, the container is $\frac {3}{4}$ full. What is the volume of the container in cups?