One month Carlos rented 7 movies and 9 video games for a total of $78. The next month he rented 5 movies and 3 video games for a total of $36 .Find the rental cost for each movie and each video game.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find out what the cost is $x per movie and $y per video game. Then, we have the equations to model the system such that

7x + 9y = 78

5x + 3y = 36

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Multiply the second equation with -3 to get

7x + 9y = 78

-15x - 9y = -108

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-8x = -30.............Then divide -8 to both sides

x = $3.75 per movie

Now, we substitute the x-value into the first equation such that

7(3.75) + 9y = 78

26.25 + 9y = 78.................Subtract 26.25 from both sides such that

9y = 51.75.............Then divide 9 to both sides such that

y = $5.75 per video game

I hope this helped!