lauren is going to a carnival that has games and rides. each game costs $2 and each ride costs $4.75. lauren…

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.

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.

Answer

Explanation:

Step1: Define variables

Let ( x ) be the number of games Lauren played. Let ( y ) be the number of rides Lauren went on.

Step2: Write cost - related equation

The cost of each game is ( $2 ), so the total cost for games is ( 2x ). The cost of each ride is ( $4.75 ), so the total cost for rides is ( 4.75y ). Lauren spent ( $50 ) in total. So, ( 2x + 4.75y=50 ).

Step3: Write relationship - between - variables equation

The number of rides ( y ) is ( 2 ) more than the number of games ( x ). So, ( y=x + 2 ).

Answer:

Let ( x=) the number of games Lauren played. Let ( y=) the number of rides Lauren went on. System of Equations: ( 2x + 4.75y = 50 ) ( y=x + 2 )