Aaron is going to a carnival that has games and rides. each game costs $2.75 and each ride costs $4.75. aaron spent $20.50 altogether at the carnival and the number of games he played is twice the number of rides he went on. determine the number of games aaron played and the number of rides aaron went on.

Step-by-step explanation:

2.75g + 4.75r = 20.50

g = 2r

2.75(2r) + 4.75r = 20.50

5.50r + 4.75r = 20.50

10.25r = 20.50

r = 20.50 / 10.25

r = 2 < Aaron went on 2 rides

g = 2r

g = 2(2)

g = 4 < Aaron played 4 games

check...

2.75g + 4.75r = 20.50

2.75(4) + 4.75(2) = 20.50

11 + 9.5 = 20.50

20.50 = 20.50 (correct)

the answer to the expression is 83