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?


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:


*[invoke linear_substitution "x", "y", 2,3, 24.30, 3, 1, 18.25  ]


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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Good luck in your studies!


Respectfully,
Dr J