Celeste and Dora both offer guitar lessons. Celeste charges an initial fee of $5.00, and an hourly rate of $7.25. Dora has an initial fee of $10.25, and an hourly rate of $6.50. The equation 7.25h + 5 = 6.5h + 10.25 represents the scenario.

At how many hours of instruction will the cost be the same for both instructors?

Question

Celeste and Dora both offer guitar lessons. Celeste charges an initial fee of $5.00, and an hourly rate of $7.25. Dora has an initial fee of $10.25, and an hourly rate of $6.50. The equation 7.25h + 5 = 6.5h + 10.25 represents the scenario.

At how many hours of instruction will the cost be the same for both instructors?

Mercury · Answer

since you already have an equation where their costs are being set equal to each other, simply solve for 7.25h + 5 = 6.5h + 10.25 for h