Question

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:

Let both of them clean for x hours at which cost for both cleaners company charge are same

For Cwicky Cleaners

upfront charges = $100

cleaning charge for 1 hour = $20

cleaning charge for 1*x hour = $20*x =$20x

Total charge by Cwicky Cleaners = $100 + $20x

For No Mo Mess

upfront charges = $50

cleaning charge for 1 hour = $30

cleaning charge for 1*x hour = $30*x =$30x

Total charge by No Mo Mess = $50 + $30x

Given that we have to find the hour at which both the cleaners have same cost

Total charge by Cwicky Cleaners =Total charge by No Mo Mess

100 + 20x = 50 + 30x

=>100 - 50 = 30x-20x

=> 50 = 10x

=> x = 50/10 = 5

Thus, for 5 hours the cost is same for Cwicky Cleaners and No Mo Mess.