Isaac is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival and the number of rides he went on is 5 more than the number of games he played. Determine the number of games Isaac played and the number of rides Isaac went on.
Let:
- x be the number of games Isaac played
- y be the number of rides Isaac went on
We can create a system of equations:
1.50x + 5y = 44.50 (total spent)
x = y - 5 (number of rides is 5 more than games)
Substitute the second equation into the first equation:
1.50(y - 5) + 5y = 44.50
1.50y - 7.50 + 5y = 44.50
6.50y = 52
y = 8
Substitute y back into x = y - 5:
x = 8 - 5
x = 3
Therefore, Isaac played 3 games and went on 8 rides.