Problema Solution

One month Rita rented 2 movies and 12 video games for a total of $71. The next month she rented 5 movies and 3 video games for a total of $29. Find the rental cost for each movie and each video game.

Answer provided by our tutors

let


m = the rental cost of one movie


g = the rental cost of one video game


One month Rita rented 2 movies and 12 video games for a total of $71:


2m + 12g = 71


The next month she rented 5 movies and 3 video games for a total of $29:


5m + 3g = 29


by solving the system of equations:


2m + 12g = 71


5m + 3g = 29


we find:


m = $2.5


g = $5.5


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the rental cost of each movie is $2.5.


the rental cost of each video game is $5.5.