Question

Lauren is going to a carnival that has games and rides. Each game costs $2 and each

ride costs $4.75. Lauren spent $50 altogether at the carnival and the number of rides
she went on is 2 more than the number of games she played. Write a system of
equations that could be used to determine the number of games Lauren played and
the number of rides Lauren went on. Define the variables that you use to write the
system.
Let
Let
System of Equations:
pls help!!

Answer 1

Let's define the variables for the number of games Lauren played and the number of rides she went on.
- Let x be the number of games Lauren played.
- Let y be the number of rides Lauren went on.

The cost of playing each game is $2, so the total cost of playing x games is 2x dollars. Similarly, the cost of each ride is $4.75, so the total cost of going on y rides is 4.75y dollars.

According to the problem, Lauren spent $50 altogether at the carnival. Therefore, we can write the first equation as:
2x + 4.75y = 50

The problem also states that the number of rides Lauren went on is 2 more than the number of games she played. Therefore, we can write the second equation as:
y = x + 2

So the system of equations that could be used to determine the number of games Lauren played and the number of rides Lauren went on is:
2x + 4.75y = 50
y = x + 2