Question

Arianna and her friend Alexa are going to a carnival that has games and rides. Arianna played 6 games and went on 2 rides and spent a total of $21.50. Alexa played 10 games and went on 7 rides and spent a total of $53.25. Write a system of equations that could be used to determine the cost of each game and the cost of each ride. Define the variables that you use to write the system.

Answer 1

6 g + 2 r = 21.50

10 g + 7 r = 53.25
That should get you going

Answer 2

[AI-generated answer — Explain Bot]

Let's define the variables:

Let's say the cost of each game is G, and the cost of each ride is R.

Now we can set up the system of equations:
1) Arianna played 6 games and went on 2 rides, spending a total of $21.50:
6G + 2R = 21.50

2) Alexa played 10 games and went on 7 rides, spending a total of $53.25:
10G + 7R = 53.25

So, our system of equations becomes:
6G + 2R = 21.50
10G + 7R = 53.25

Now we have a system of two equations with two variables. We can solve this system of equations to find the cost of each game (G) and the cost of each ride (R).