Grace is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $2.50. Grace spent $16.50 altogether at the carnival and the number of games she played is twice the number of rides she went on. Write a system of equations that could be used to determine the number of games Grace played and the number of rides Grace went on.

Number of Rides:      

Number of Games:    

Step-by-step explanation:

Given

Represent the games with G and the Rides with R

-- cost

--- cost

-- cost

Required

Represent the system using an equation

The equation can be represented as follows;

Assume She plays G games and had R rides, we have

Since she plays twice as much games as rides,

This implies;

So, we have

--- This equation can be used to solve for Number of Rides

Solving further

Substitute 3 for R in

Solve for 1.5G

--- This equation can be used to solve for Number of Games

Solving further

step-by-step explanation: s

b

step-by-step explanation: