Write System of Equations from Context

Question

Stella is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $4. Stella spent $52.50 altogether at the carnival and the number of rides she went on is twice the number of games she played. Write a system of equations that could be used to determine the number of games Stella played and the number of rides Stella went on. Define the variables that you use to write the system.

Answer 1

2.5g +4r=52.5

r=2g

2.5g +4(2g) = 52.5

10.5g=52.5

g=52.5/10.5= 5 games

r= 2(5)=10 rides