Question

A mug is 1/7 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug.

Answer 1

The capacity of the mug is
`1(1)/(6)` cups

Explanation:

Let x be the capacity of the mug (in cups).

Since the mug is
`(1)/(7)` full, the total amount of cups of water in the mug is
`(1)/(7)x`.

Given that the mug contains
`(1)/(6)` cups of water...

`(1)/(7)x = (1)/(6)`

Multiply both sides by 7 to isolate x:

`(1)/(7)x (7) = (1)/(6)(7)`

`x = (7)/(6)`

The mug capacity is
`(7)/(6)` cups or
`1(1)/(6)` cups