SOLUTION: One month Ivanna rented 4 movies and 8 video games for a total of$61 . The next month she rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One month Ivanna rented 4 movies and 8 video games for a total of$61 . The next month she rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie      Log On


   

Question 1176726: One month Ivanna rented 4 movies and 8 video games for a total of$61 . The next month she rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.
Answer by princessBelle(3) About Me  (Show Source):
You can put this solution on YOUR website!
Let m represent the price of movies.
Let v represent the price of video games.
(1) +4m+%2B+8v+=+61+
(2) +2m+%2B+3v+=+24+ multiply this equation by 2
-----------------------------
+4m+%2B+8v+=+61+
+4m+%2B+6v+=+48+ now subtract both equations with each other
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+0m+%2B+2v+=+13+
+++++++v+=+13%2F2+
+++++++v+=+6.5+

Now that v is solved. Substitute v in either equation (1) or (2). I will use (2), but both should give you the same answer.

+2m+%2B+3v+=+24+
+2m+%2B+3%286.5%29+=+24+
+2m+%2B+19.5+=+24+
+2m+=+24+-+19.5+
+2m+=+4.5+
++m+=+4.5%2F2+
++m+=+2.25+

Therefore, the cost of video games is $6.50 and the cost of movies is $2.25.

Hope this helps, and you understand how to do these problems better!