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Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges a $60 fee plus $20 per day. for what number of days is the cost the same. Please also explain how you got the answer

Respuesta :

Answer: x=3

Step-by-step explanation:

1. Hans needs to rent a moving truck. Suppose Company A charges $40.00 per day and Company B charges a $60.00 fee plus $20.00 per day, for what number of days is the cost the same?

Let x = # of days, since Company A charges $40/day then cost after x days = 40x

Let x = # of days, since Company B charges $20/day plus $60 fee, then cost after x days = 20x + 60

a. For what # of days is the cost the same?

   When the cost is the same => 40x = 20x + 60

                                                    40x - 20x = 60

                                                             20x = 60

                                                                 x = 60/20

                                                                 x = 3

 The cost is the same after 3 days.

 

 Checking:

$40(3)  = $20(3) + $60

$120    = $60 + $60

$120    = $120