Question

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee of $15 plus $17 per hour to clean a house. A second cleaning company charges $20 per hour to clean a house. The second company does not charge a fixed fee in addition to their hourly rate. For what number of hours is the total amount charged for cleaning a house the same for both companies? Show or explain how you got your answer.

Answer 1

Answer:

5 hours

Equations:

first company: 17x+15

second company: 20x

Proof:

17(5)+15 => 85+15 => 100

20(5) => 100