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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

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absor201

Each game costs 1.25 and each ride costs 3.75

Step-by-step explanation:

Let,

Cost of each game = x

Cost of each ride = y

According to given statement;

5x+6y=28.75        Eqn 1

4x+3y=16.25         Eqn 2

Multiplying Eqn 2 by 2

[tex]2(4x+3y=16.25)\\8x+6y=32.50\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 1 from Eqn 3

[tex](8x+6y)-(5x+6y)=32.50-28.75\\8x+6y-5x-6y=3.75\\3x=3.75[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{3.75}{3}\\x=1.25[/tex]

Putting x=1.25 in Eqn 1

[tex]5(1.25)+6y=28.75\\6.25+6y=28.75\\6y=28.75-6.25\\6y=22.50[/tex]

Dividing both sides by 6

[tex]\frac{6y}{6}=\frac{22.50}{6}\\y=3.75[/tex]

Each game costs 1.25 and each ride costs 3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11408596
  • brainly.com/question/11470904

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