Question

Alexa is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Alexa spent $22.50 altogether in 14 games and rides

Answer 1

Answer:

Games = x = 9

Rides = y = 5

Step-by-step explanation:

Let

Games = x

Rides = y

x + y = 14 (1)

1.25x + 2.25y = 22.50 (2)

From (1)

x = 14 - y

Substitute x = 14 - y into (2)

1.25x + 2.25y = 22.50

1.25(14 - y) + 2.25y = 22.50

17.5 - 1.25y + 2.25y = 22.50

- 1.25y + 2.25y = 22.50 - 17.5

y = 5

Substitute y = 5 into (1)

x + y = 14

x + 5 = 14

x = 14 - 5

x = 9

Games = x = 9

Rides = y = 5