Question

!!! 20 POINTS !!!

Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17.

Find the rental cost for each movie and video game.

Answer 1

Answer: rental cost for each movie $1.50
Rental cost for each video game $6.25

Step-by-step explanation:

m = rental cost of each movie
g = rental cost of each game

Set up:

8m + 4g = 37
3m + 2g = 17

Modify for elimination:

3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136

Subtract:

24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25

Divide:

4g = 25

g = 25/4

g = 6.25

So each game is $6.25

Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie

3m + 2 (6.25) = 17 (multiply 2 & 6.25)

3m + 12.50 = 17 (subtract 12.50 from sides)

3m = 4.50 (divide both sides by 3)

m = 1.50

So each movie rental is $1.50