How do I solve this? Any help?

Question

Suppose a bowling alley charges $5 per person to rent shoes and a certain amount per game per person. Six friends each pay for one game and rent a pair of shoes. The total cost is $49.50.

Explain how to write an equation that can be used to find the cost of a game. Then find the cost of a game.

Answer 1

C = 5S + XG where S= number of shoes, G = number of games, X = cost of a game

49.5 = 6(5(1) + X(6)

49.5 = 30 +6X

6X = 19.5

X = 19.5/6 = $3.25 per game

6 people paid for 6 games and 6 pairs of shoes

6x 3.25 + 6(5) = 19.50 + 30 = 49.50