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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

 Jan 23, 2020
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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

 Jan 23, 2020

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