For members a video store charges a membership fee of $21 and then $2.50 for each movie rental. For non-members they charge $4 for each movie rental. How many movies do you need to rent for members and non-members to pay the same amount?

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Answer 1 · 2016-12-02T21:07:12

Both of these will be the same when Customers have rented 14 videos.

Let's call the number of videos we are looking for #v#.

For non-member these videos would cost: #$4 xx v#

For members these videos would cost the membership fee plus the $2.50 per video or: #$21 + ($2.50 xx v).

To find when these are equal you equate them and solve as follows:

#4 xx v = 21 + (2.5 xx v)#

#(4 xx v) - (2.5 xx v) = 21 + (2.5 xx v) - (2.5 xx v)#

#1.5 xx v = 21#

#(1.5 xx v)/1.5 = 21/1.5#

#v = 14#