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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

hans needs to rent a moving truck. suppose company a charges a rate of \$40.00 per day and company b charges \$60.00 fee plus \$20.00 per day . for what number of days is the cost the same

Marietta G. | Versatile EducatorVersatile Educator
4.8 4.8 (186 lesson ratings) (186)
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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
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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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.