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?

Respuesta :

Answer:

They spent $63 and 12 hours each

Step-by-step explanation:

Given

Represent hour with h

For Brian;

[tex]Amount = 15 + 4h[/tex]

For Latrell

[tex]Amount = 3 + 5h[/tex]

Required

Find h and amount

Since, they spent the same amount

[tex]15 + 4h = 3 + 5h[/tex]

Collect Like Terms

[tex]5h - 4h = 15 - 3[/tex]

[tex]h = 12[/tex]

Substitute 12 for h in [tex]Amount = 3 + 5h[/tex]

[tex]Amount = 3 + 5 * 12[/tex]

[tex]Amount = 3 + 60[/tex]

[tex]Amount = 63[/tex]