Suppose GameStop charges nonmembers $8 to rent each game.
A non member plays x number of games. The cost of x number of games is 8 × x = $8x
A store membership costs $25 and members pay only $2.50 to rent each game. A member plays y number of games for 2.5×y + fixed cost(membership cost) of $25
y number of games cost 2.5y +25
Since we are looking for the same number of games,y = x
Let g represent the number of games that makes non-member cost equal to member cost. Non-member cost of renting g games is 8g. Member cost is 25+2.50g. These are equal when ...
8g = 25 +2.50g
5.50g = 25
g = 25/5.50 = 50/11 = 4 6/11
The cost is the same when the number of games rented is 4 6/11.
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There is no integer number of games that can be rented to make the costs be the same.
