Each game costs 1$ and each ride costs $3.50. Sam spent $28.50 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sam played and the number of rides Sam went on.

Answer: Sam played 5 games and went on 8 ridesStep-by-step explanation:Let r represent the number of rides that Sam went on.Let g represent the number of games that Sam playedthe number of rides she went on is 3 more than the number of games she played. This means that r = 3 + gEach game costs 1$ and each ride costs $3.50. Sam spent $28.50 altogether at the carnival. This means that3.5r + g = 28.50 - - - - - - -1Substituting r = 3 + g into equation 1, it becomes3.5(3+g) + g = 28.5010.5 + 3.5g + g = 28.504.5g = 28.5 - 10.54.5g = 18g = 18/4.5 g = 5r = 3 + g = 3 + 5r = 8