Henry needs to rent a moving truck. Suppose Company A charges a rate of $50 per day and Company B charges $70 fee plus $30 per day. For what number of days is the cost the same?

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Answer 1 · 2018-07-12T16:52:11

#3 1/2 days#

To solve this set Company A equal to Company B

Let #n = days#

The cost for Company A is #$50n#
The cost for Company B is #$70 + $30n#

Set the equation #$50n = $70 + $30n#

#50n = 70 + 30n#

Use additive inverse to combine the variable terms on one side of the equation.

#50n - 30n = 70 cancel(+ 30n) cancel(- 30n)#

#20n = 70#

Use multiplicative inverse to isolate the variable.

#(cancel20n)/cancel20 = 70/20#

#n =7/2# or #3 1/2#