Question

SOMBODY PLEASE HElp

Cwicky Cleaners charges $100 up front plus $20 an hour to clean a house. No Mo Mess charges $50 up front plus $30 an hour
to clean a house. For how many hours is the cost the same for Cwicky Cleaners and No Mo Mess?

Answer 1

5 hours

Explanation:

Variable x = number of hours

Step 1: set up equations

Cwicky Cleaners: 100 + 20x

No Mo Mess: 50 + 30x

Step 2: to find the same hours equal the two equations

100 + 20x = 50 + 30x

Isolate the variable (x)

100 - 50 = 30x - 20x

50 = 10x

50 ÷ 10 = x

5 = x

Step 3: Check your work

Plug in 5 for x on both sides and equal equations together

100 + 20(5) = 50 + 30(5)

100 + 100 = 50 + 150

200 = 200

If they equal each other, then the answer is correct.

This answer is correct.