Question

Mark spends one-third of the day sleeping. He spends 8 hours at school and one-sixth of the day at soccer practice. How much free time does Mark have?

Answer 1

4 hours

Explanation:

We know that there are 24 hours in a day. Therefore, we will subtract from 24.

If mark spends one-third of his day sleeping, then he will be asleep for 8 hours.

`(1)/(3)*24 \\=(24)/(3) \\=8`

We also know that if Mark spends one-sixth of his day at soccer practice, he will have been practicing for 4 hours.

`(1)/(6)*24 \\=(24)/(6) \\=4`

We now simply subtract from 24:

`\text{hours in a day - hours asleep - hours at school - hours practicing} \\24 - 8 - 8 - 4 \\= 4`

Therefore, Mark will have 4 hours of free time.