Answer:
4 hours
Step-by-step 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.
[tex]\frac{1}{3}\times24 \\=\frac{24}{3} \\=8[/tex]
We also know that if Mark spends one-sixth of his day at soccer practice, he will have been practicing for 4 hours.
[tex]\frac{1}{6}\times24 \\=\frac{24}{6} \\=4[/tex]
We now simply subtract from 24:
[tex]\text{hours in a day - hours asleep - hours at school - hours practicing} \\24 - 8 - 8 - 4 \\= 4[/tex]
Therefore, Mark will have 4 hours of free time.
