Finding the cost of each.

Question

One month Ahmad rented two movies and three video games for a total of $26. the next month he rented six movies and five video games for a total of $56 find the rental cost for each movie and each video game

Answer 1

Let m be the cost to rent a movie and g be the game rental cost.

From the description for the two months:

2m + 3g = 26 Eq 1

6m + 5g = 56 Eq 2

This gives us two simultaneous equations. There are several ways to solve for m and g, but it looks like we can eliminate m by subtracting 3 times Eq 1 from Eq 2.

6m + 5g = 56

-(6m + 9g = 78)

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-4g = -22 or g = -22/-4 = $5.50

We cans substitute g into Eq1 to solve for m:

2m + 3(5.5) = 26 --> 2m + 16.5 = 26

2m = 9.5

m = 9.5/2 = $4.75

Answer 2

2m + 3v =26

6m + 5v =56

-3 × eq1 + eq2

-4v=-22

V= 5.50

Per 1st eq: 2m + 16.50=26

2m=9.50

M=4.75