Answer:
The capacity of the mug = [tex]1\frac{1}{3}[/tex] cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is [tex]\frac{1}{8}[/tex] full of water
⇒Total cups of water in the mug = [tex]\frac{1}{8} x[/tex]
Now,
Given that, The mug contains [tex]\frac{1}{6}[/tex] of a cup of water.
∴ we get
[tex]\frac{1}{8} x[/tex] = [tex]\frac{1}{6}[/tex]
⇒x = [tex]\frac{1}{6}[/tex] × 8
= [tex]\frac{8}{6}[/tex]
= [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]
⇒x = [tex]1\frac{1}{3}[/tex]
∴ we get
The capacity of the mug = [tex]1\frac{1}{3}[/tex] cups
