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

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

i dont know i just need points

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3