Question

Madison has reserved x hours this week for activities. He uses 1/4 of his hours for basketball. He uses 1/3 of his hours to practice playing his saxophone. Write an expression to show how much time he has left for other activities.

Answer 1

Time left for Madison for other activities is
`(5x)/(12)` h .

Explanation:

Given as :

The time reserved by Madison for activities = x hours

The time uses for basketball =
`(1)/(4)` of x =
`(x)/(4)` h

The time uses for playing saxophone =
`(1)/(3)` of x =
`(x)/(3)` h

So , The total time used by him =
`(x)/(4)` h +
`(x)/(3)` h

I.e The total time used by him =
`(7x)/(12)` h

Now, The time left for other activities = x h -
`(7x)/(12)` h

I.e The time left for other activities =
`(12x - 7x)/(12)` h

or, The time left for other activities =
`(5x)/(12)` h

Hence Time left for Madison for other activities is
`(5x)/(12)` h . Answer