Question

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 1

Answer: Sam played 5 games and went on 8 rides

Explanation:

Let r represent the number of rides that Sam went on.

Let g represent the number of games that Sam played

the number of rides she went on is 3 more than the number of games she played. This means that

r = 3 + g

Each game costs 1$ and each ride costs $3.50. Sam spent $28.50 altogether at the carnival. This means that

3.5r + g = 28.50 - - - - - - -1

Substituting r = 3 + g into equation 1, it becomes

3.5(3+g) + g = 28.50

10.5 + 3.5g + g = 28.50

4.5g = 28.5 - 10.5

4.5g = 18

g = 18/4.5

g = 5

r = 3 + g = 3 + 5

r = 8