Description
a decorator charges a $75 consult fee, plus$50 per hour. another decorator charges a$50 consult fee, plus $60 per hour. when do the decorators charge the same amount ? how much is it ? solve.
Explanation & Answer
Total charged by first decorator = 75 + 50h
Total charged by second = 50 + 60h
For the amounts to be equal 75 + 50 h = 50 + 60h
subtract 50 from both sides
75 -50 + 50h = 50 -50 + 60h
25 + 50h = 60 h
subtract 50h from both sides
25 + 50h -50h = 60h -50h
25 = 10h
10h =25
h = 25 / 10 = 2.5 hours
The charge becomes equal after 2 1/2 hours
Charge then becomes 50 + 60 *2.5 = 50 + 150 =$200
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