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.

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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