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Molodets [167]
3 years ago
12

One month Tammy rented 2 movies and 3 video games for a total of $25. The next month she rented 4 movies and 8 video games for a

total of $61. Find the
rental cost for each movie and each video game.

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

cost of each video game = $5.50

cost of each movie = $4.25.

Step-by-step explanation:

Let m represent cost per movie

g represents cost per video game.

Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:

First month:

2m + 3g = 25 => equation 1

Second month:

4m + 8g = 61 => equation 2

Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:

4 × 2m + 3g = 25

2 × 4m + 8g = 61

8m + 12g = 100 => equation 3

8m + 16g = 122 => equation 4

Subtract equation 4 from equation 3

You'd have:

- 4g = - 22

Divide both sides by -4

g = 5.5

Thus, the cost of each video game = $5.50.

Substitute g = 5.5 in equation 1 and solve for m.

2m + 3g = 25

2m + 3(5.5) = 25

2m + 16.5 = 25

Subtract 16.5 from each side

2m = 25 - 16.5

2m = 8.5

Divide both sides by 2

m = 4.25

Thus, cost of each movie = $4.25.

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