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Two computer technicians both charge a fee for a home visit ,plus an hourly rate for their work. Dana charges a $64.95 fee, plus $45/h. Tom charges a $79.95 fee, plus $40/h. For what length of service call do Dana and Tom charge the same amount?

Respuesta :

Answer:

3 hours

Step-by-step explanation:

Step one:

given data

Dana charges

$64.95 fee, plus $45/h.

let the number of hours be x

and the total charges be y

y= 45x+64.95---------1

Tom charges

$79.95 fee, plus $40/h.

let the number of hours be x

and the total charges be y

y= 40x+79.95---------2

Step two:

Equate eqn 1 and 2 to find x

45x+64.95=40x+79.95

collect like terms

45x-40x=79.95-64.95

5x=15

divide by 15

x= 15/5

x= 3 hours

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