Respuesta :
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
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,
- Container is [tex]\frac{1}{8}[/tex] full of water.
- Water added in the container = 10 cups
- After addition of 10 cups container is [tex]\frac{3}{4}[/tex] full.
Let the volume of a container = V cups
If this container is [tex]\frac{1}{8}[/tex] full, volume of the water in the container = [tex]\frac{V}{8}[/tex] cups
By adding 10 cups of water, volume of the water in the container = [tex](\frac{V}{8}+10)[/tex] cups
Since, after adding 10 cups of water container is [tex]\frac{3}{4}[/tex] full.
Therefore, volume of water in the container = [tex]\frac{3V}{4}[/tex] cups
And the equation representing the situation will be,
[tex]\frac{V}{8}+10=\frac{3V}{4}[/tex]
[tex]\frac{3V}{4}-\frac{V}{8}=10[/tex]
[tex]\frac{6V-V}{8}=10[/tex]
[tex]\frac{5V}{8}=10[/tex]
[tex]V=16[/tex] cups
Therefore, volume of the container is 16 cups.
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