Owen and his friend kayden are going to a carnival that has games and rides . Owen played 5 games and went on 6 rides and spent a total of 28.75 kayden played 4 games and went on 3 rides and spent a total of 16.25. Determine the cost of each game and the cost of each ride
You have two equations, let games be x and y be rides
5x+6y=28.75
and
4x+3y=16.25
Take the first equation and set x alone on one side of the equation
5x+6y=28.75
5x=28.75-6y <- Divide this by 5 to get x
x=5.75-1.2y
Substitute this for x in the second equation and you get
4x+3y=16.25 becomes...
4(5.75-1.2y)+3y=16.25
23-4.8y+3y=16.25
23-16.25=4.8y-3y
6.75=1.8y
y=3.75
x=5.75-1.2*4
x=1.25