Question

Brian and Latrell both went bowling last weekend, but not together. Brian went during open bowling time, paying $15 for shoe rental and $4 per hour. Latrell went on family night, when each hour was $5 and shoe rental was $3. As it turned out, they played for the same number of hours and spent the same amount. How much did each one spend? How many hours did each one bowl?

Answer 1

They spent $63 and 12 hours each

Explanation:

Given

Represent hour with h

For Brian;

`Amount = 15 + 4h`

For Latrell

`Amount = 3 + 5h`

Required

Find h and amount

Since, they spent the same amount

`15 + 4h = 3 + 5h`

Collect Like Terms

`5h - 4h = 15 - 3`

`h = 12`

Substitute 12 for h in
`Amount = 3 + 5h`

`Amount = 3 + 5 * 12`

`Amount = 3 + 60`

`Amount = 63`