Ayden and his friend Sophie are going to a carnival that has games and rides. Ayden played 5 games and went on 7 rides and spent a total of $29.50. Sophie played 9 games and went on 2 rides and spent a total of $16. Write a system of equations that could be used to determine the cost of each game and the cost of each ride. Define the variables that you use to write the system.

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absor201 absor201 · Answer 1 · 2019-12-12T12:03:12+01:00

5x+7y=29.50 and 9x+2y=16 can be used to determine the cost of each game and each ride.

Variable x is the cost of one game and variable y is the cost of one ride.

Step-by-step explanation:

Let,

Cost of one game = x

Cost of one ride = y

Ayden played 5 games and went on 7 rides and spent a total of $29.50.

5x+7y=29.50 Eqn 1

Sophie played 9 games and went on 2 rides and spent a total of $16.

9x+2y=16 Eqn 2

5x+7y=29.50 and 9x+2y=16 can be used to determine the cost of each game and each ride.

Variable x is the cost of one game and variable y is the cost of one ride.

Keywords: linear equation, variable

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