can you solve please

Algebra
Tutor: None Selected Time limit: 1 Day

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.

May 11th, 2015

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

May 11th, 2015

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