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company a charges $40.00 per day company b charges $60.00 plus $20.00 per day for what number of days is the cost the same

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2 Answers

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
Hi Shauna;
I enjoy these questions.
 
x=quantity of days.
 
40x=60+20x
 
Let's isolate x by placing all x items on one side.
To do this, we will subtract 20x from both sides.
-20x+40x=60+20x-20x
20x=60
x=3
 
Let's test this result.
 
$40 x 3 days = $120 for 3 days.
$60 + ($20 x 3 days) = $120 for 3 days.