Question 1200780
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One month Trey rented 4 movies and 8 video games for a total of $61. 
The next month he rented 2 movies and 3 video games for a total of $25. 
Find the rental cost for each movie and each video game.
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<pre>
Write equations as you read the problem

    4m + 8v = 61   (1)
    2m + 3v = 25   (2)


Solve it by the elimination method. For it, multiply eq(2) by 2 (both sides).
Keep eq(1) as is

    4m + 8v = 61   (1')
    4m + 6v = 50   (2')


Subtract eq(2') from eq(1')

         8v - 6v = 61 - 50

            2v   =    11

             v   =    11/2 = 5.50.


Now from eq(2)

    2m + 3*5.50 = 25  --->  2m = 25 - 3*5.50 = 8.50  --->  m = 8.50/2 = 4.25.


<U>ANSWER</U>.  $4.25 for m  and  $5.50 for v.
</pre>

Solved.


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To see many other word problems, &nbsp;solved by using systems of two equations in two unknowns,
look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Typical-word-problems-on-systems-of-2-equations-in-2-unknowns.lesson>Typical word problems on systems of 2 equations in 2 unknowns</A> 

in this site.


Reading this lesson will give you a lot and will make your horizon wider.