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5.Stephanie and Ryan go together to a local video store. Stephanie rents two movies and three
games for a total cost of $24.30. Ryan rents three movies and one game for a total cost of
$18.25. How much does it cost to rent one movie? How much does it cost to rent one game? Show your work

Respuesta :

Movies: $4.35. Games: $5.20

Assume movies are all $x and games are all $y to rent
2x + 3y = 24.3
3x + 1y = 18.25

Multiply second equation by 3
9x + 3y = 54.75

Subtract first equation from third equation
7x = 30.45
x = 4.35 So a movie costs $4.35 to rent

Substitute for x in equation 2
3 x 4.35 + y = 18.25
13.05 + y = 18.25
y = 18.25 - 13.05 = 5.20 so games cost $5.20 to rent