Question

Polly is trying to decide which company she should use to paint her house. Practically Perfect Painting charges a one-time fee of $125 to do the prep work and $25 per hour for the painting. She has $300 to spend. For how many hours can she hire this company?Polly is trying to decide which company she should use to paint her house. Practically Perfect Painting charges a one-time fee of $125 to do the prep work and $25 per hour for the painting. She has $300 to spend. For how many hours can she hire this company?

Answer 1

5 hours

Explanation:

First, create 2 expressions that represent the cost with each company, where x is the number of hours.

Practical Perfect Painting will be represented by 25x + 125, since it is 25 dollars per hour, plus the prep work cost.

Excellent Exteriors will be represented by 20x + 150.

Then, set these equal to each other and solve for x. This x value will be the number of hours that make the cost the same.

25x + 125 = 20x + 150

5x + 125 = 150

5x = 25

x = 5

So, it will take 5 hours for the cost of the companies to be the same