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 214814: 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 drj(1380) (Show Source): You can put this solution on YOUR website! 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?
Step 1. Let x be cost of one movie.
Step 2. Let y be the cost of one game.
Step 3. 2x+3y=24.30 where Qadir rents two movies and three games for a total cost of $24.30.
Step 4. 3x+y=18.25 where Raj rents three movies and one game for a total cost of $18.25.
Step 5. The following will solve the system of equations given in Steps 3 and 4 using substitution:
Solve: We'll use substitution. After moving 3*y to the right, we get: , or . Substitute that
into another equation: and simplify: So, we know that y=5.2. Since , x=4.35.
Answer: .
For Sabrina to rent one movie and two games, we have
x+2y=4.35 +2*5.2=14.75
Step 6. ANSWER: Sabrina needs $14.75 to rent one movie and two games.
I hope the above steps were helpful.
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