Nolan is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $3.50. Nolan spent $52.50 altogether on 17 games and rides. Write a system of equations that could be used to determine the number of games Nolan played and the number of rides Nolan went on. Define the variables that you use to write the system.
Question
Nolan is going to a carnival that has games and rides. Each game costs 3.50. Nolan spent $52.50 altogether on 17 games and rides. Write a system of equations that could be used to determine the number of games Nolan played and the number of rides Nolan went on. Define the variables that you use to write the system.
Solution
Let's define the variables first:
Let G represent the number of games Nolan played. Let R represent the number of rides Nolan went on.
We know that Nolan played games and went on rides a total of 17 times, so we can write the first equation as:
G + R = 17
We also know that Nolan spent a total of 2.50 and each ride costing $3.50. This gives us the second equation:
2.50G + 3.50R = 52.50
So, the system of equations is:
G + R = 17 2.50G + 3.50R = 52.50
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