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The problem

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One month Brian rented 12 movies and 2 video games for a total of $41 . The next month he rented 3 movies and 5 video games for a total of $35 . Find the rental cost for each movie and each video game.

Answer provided by our tutors

Let

x = the rental cost for one movie

y = the rental cost for one video game


One month Brian rented 12 movies and 2 video games for a total of $41 

12x + 2y = 41

The next month he rented 3 movies and 5 video games for a total of $35 

3x + 5y = 35

by solving the bellow system of equations we find the solution:

12x + 2y = 41

3x + 5y = 35

........

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........

x = $2.5

y = $5.5

The rental cost per movie is $2.5.

The rental cost per video game is $5.5.

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