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One month Tony rented 5 movies and 3 video games for a total of $32. The next month he rented 2 movies and 12 video games for a total of $83. Find therental cost for each movie and each video game.Rental cost for each movie:Rental cost for each video game:

User Duana
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1 Answer

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Let x represent the rental cost for each movie.

Let y represent the rental cost for each video game.

We were told that One month Tony rented 5 movies and 3 video games for a total of 532. This means that

5x + 3y = 32

Also, the month, he rented 2 movies and 12 video games for a total of $83. This means that

2x + 12y = 83

Dividing through by 2, we have

x + 6y = 41.5

x = 41.5 - 6y

Substituting x = 41.5 - 6y into 5x + 3y = 532, we have

5(41.5 - 6y) + 3y = 32

207.5 - 30y + 3y = 32

- 30y + 3y = 32 - 207.5

- 27y = - 175.5

y = - 175.5/- 27

y = 6.5

x = 41.5 - 6(6.5) = 41.5 - 39

x = 2.5

Rental cost for each movie = $2.5

Rental cost for each video game = $6.5

User Hicham Zouarhi
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