Question

Initial Knowledge Check Question 14 One month Charlie rented 5 movies and 6 video games for a total of $42. The next month he rented 3 movies and 2 video games for a total of $16. Find the rental cost for each movie and each video game.

Answer 1

To find the rental cost for each movie and each video game, set up a system of equations and solve them simultaneously.

Step-by-step explanation:

To find the rental cost for each movie and each video game, we can set up a system of equations using the given information.

Let's assume the rental cost for each movie is represented by 'm', and the rental cost for each video game is represented by 'v'.

From the first month's information, we can write the equation: 5m + 6v = 42.

From the second month's information, we can write the equation: 3m + 2v = 16.

Solving these equations simultaneously, we will find the values of 'm' and 'v', which will give us the rental cost for each movie and each video game.

Subtracting twice the second equation from the first equation gives us: m = 4.

Substituting this value back into the second equation gives us: v = 2.

So, the rental cost for each movie is $4 and the rental cost for each video game is $2.