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.

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:

=> equation 1

Second month:

=> equation 2

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

4 ×

2 ×

=> equation 3

=> 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.

Subtract 16.5 from each side

Divide both sides by 2

Thus, cost of each movie = $4.25.

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.