Pam says she will charge 125 plus 15 an hour to paint a house. Michelle will charge $50 plus $20 per hour to paint a house. After how many hours will their cost be the same

Let us assume the number of hours after which the cost of Pam and Michelle will be same = x

Now let us concentrate on the information's already given in the problem.

Fixed charge taken by Pam = $125

Charge per hour taken by Pam = $15

Fixed charge taken by Michelle = $50

Charge per hour taken by Michelle = $20

Then

125 + 15x = 50 + 20x

20x - 15x = 125 - 50

5x = 75

x = 75/5

= 15

So after 15 hours the charge taken by Pam and Michelle will be the same. I hope the procedure for doing this type of problem is clear to you.