A container is 1/8 full of water. After 10 cups of water are added, the container is 3/4 full. What is the volume in cups?
3/4 = 6/8
6/8 - 1/8 = 5/8
so 5/8 ............10 cups
8/8.............? cups
(8/8) * 10
-------------- = 16 cups
5/8
answer is 16 cups
Volume of the container having water will be 16 cups.
It has been given in the question,
Let the volume of a container = V cups
If this container is \(\frac{1}{8}\) full, volume of the water in the container = \(\frac{V}{8}\) cups
By adding 10 cups of water, volume of the water in the container = \((\frac{V}{8}+10)\) cups
Since, after adding 10 cups of water container is \(\frac{3}{4}\) full.
Therefore, volume of water in the container = \(\frac{3V}{4}\) cups
And the equation representing the situation will be,
\(\frac{V}{8}+10=\frac{3V}{4}\)
\(\frac{3V}{4}-\frac{V}{8}=10\)
\(\frac{6V-V}{8}=10\)
\(\frac{5V}{8}=10\)
\(V=16\) cups
Therefore, volume of the container is 16 cups.
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