Answer:
Rental cost for each movie = $3.25
Rental cost for each video game = $5.25
Explanation:
We can find the rental cost for each movie and each video game using a system of equations where:
- M represents the rental cost for each movie,
- and V represents the rental cost for each video game.
First equation:
Since Jina rented 6 movies and 2 video games for a total of $30, our first equation is given by:
6M + 2V = 30
Second equation:
Since Jina also rented 3 movies and 5 video games for a total of $36, our second equation is given by:
3M + 5V = 36
Method to solve: Elimination:
We can solve this with eliminate. First, we need to multiply the second equation by -2. Then, we must add the two equations to eliminate the Ms and solve for V:
Multiplying the entire second equation by -2:
-2(3M + 5V = 36)
-6M - 10V = -72
Adding the two equations:
6M + 2V = 30
+
-6M - 10V = -72
(6M - 6M) + (2V - 10V) = (30 - 72)
-8V = -42
Solving for V:
(-8V = -42) / -8
V = 5.25
Thus, the rental cost for each video game is $5.25.
Solving for M:
We can now find M by plugging in 5.25 for V in any of the two equations in our system.
Let's use the first equation:
Plugging in 5.25 for V in 6M + 2V = 30 to solve for M:
6M + 2(5.25) = 30
(6M + 10.50 = 30) - 10.50
(6M = 19.50) / 6
M = 3.25
Thus, the rental cost for each movie is $3.25.