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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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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.
ANSWER. $4.25 for m and $5.50 for v.
Solved.
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To see many other word problems, solved by using systems of two equations in two unknowns,
look into the lesson
- Typical word problems on systems of 2 equations in 2 unknowns
in this site.
Reading this lesson will give you a lot and will make your horizon wider.
