The Fun Guys game rental store charges an annual fee of $15 and charges $5.50 per game rented. The Game Bank charges an annual fee of $31 and charges $3.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?

Find total cost at both stores.

Fun Guys cost = 15 + 5.5. a

where a is no of games rental

Game Bank Cost = 31 + 3.5. a

where a is no of games rental

Since cost is equal in both

Therefore

31 + 3.5. a = 15 + 5.5. a

->2. a=16

->a=8

Therefore after 8 game rentals cost is same in both stores.

cost = 31 + 3.5. (8) = 59