Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:
2m + 6v = 42 ________ (1)
The next month she rented 5 movies and 3 video games for a total of $30. This means that:
5m + 3v = 30 _________(2)
We now have two simultaneous equations:
2m + 6v = 42 ________ (1)
5m + 3v = 30 _________(2)
Multiply (2) by 2, and we have:
2m + 6v = 42 __________ (1)
10m + 6v = 60 _________ (3)
Subtract (1) from (3):
10m + 6v = 60
- 2m + 6v = 42
8m = 18
=> m = 18 / 8
m = $2.25
Put the value of m back in (1):
2(2.25) + 6v = 42
4.5 + 6v = 42
=> 6v = 42 - 4.5 = 37.5
v = 37.5 / 6
v = $6.25
Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25