SOLUTION: Qadir, Raj, and Sabrina go together to a local video store. Qadir rents two movies and three games for a total cost of $24.30. Raj rents three movies and one game for a total cost

Question 214144: Qadir, Raj, and Sabrina go together to a local video store. Qadir rents two movies and three games for a total cost of $24.30. Raj rents three movies and one game for a total cost of $18.25. How much money does Sabrina need to rent one movie and two games?
Answer by elima4(15) (Show Source): You can put this solution on YOUR website!
Q = 2m + 3g = 24.30
R = 3m + g = 18.25
Now we subtract the equations to find out one of the variables, put first we need to multiply one of the equations with a number so when they are subtracted it eliminates one of the variables. We will multiply 3 to R equation;
(3)3m+g = 18.25
9m+3g = 54.75
Now we can subtract;
2m+3g=24.3
-(9m+3g=54.75)
---------------
-7m=-30.45
m=4.35
So we know the movies are $4.35
Lets plug that into the either equation to find g;
2(4.35)+3g=24.30
8.7+3g=24.30
3g=15.6
g=5.2
Games = $5.20
S = 4.35+2(5.2)
S = 4.35 + 10.4
S = 14.75
:)

RELATED QUESTIONS
Qadir, Raj, and Sabrina go together to a local video store. Qadir rents two movies and... (answered by drj)

Sorry I couldn't give an ISBN. This is from a Sample Regents i have for homework. At (answered by scott8148)

rented 2 movies and 5 video games for a total of $35 . The next month he rented... (answered by Cromlix)

One month Juan rented movies and video games for a total of . The next month he rented (answered by ikleyn,josgarithmetic)

Aiden earns $37 mowing lawns. At his favorite store it costs $6.50 to rent a... (answered by josmiceli,amalm06)

Problem Solving 12. LC Video rents a game machine for $10 and video games for $3 each.... (answered by Mathtut)

one month Raina rented 2 movies and 3 video games for a total of $24. The next month she... (answered by josgarithmetic,ikleyn)

Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each... (answered by MathLover1)