Question

One month Philippe rented 3 movies and 5 video games for a total of $37 the next month he rented 9 movies and 7 video games for a total of $65 find the rental cost for each movie and each video game

Answer 1

game

Using these variables, we can set up equations.

3x + 5y = 42

9x + 7y = 72

We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1
9x + 7y = 72 eq2


Subtract eq2 from eq1 to eliminate the x terms.

8y = 54

y = 6.75

Answer 2

The rental cost for each movie is $2.75 and the rental cost for each video game was $5.75

Explanation:

Set up a system of equations where m is the cost of a movie and v is the cost of a video game:

3m + 5v = 37

9m + 7v = 65

Solve by elimination by multiplying the top equation by -3, then add the 2 equations together:

-9m - 15v = -111

9m + 7v = 65

-8v = -46

v = 5.75

Plug in 5.75 as v into one of the equations, and solve for m:

3m + 5v = 37

3m + 5(5.75) = 37

3m = 8.25

m = 2.75

So, the rental cost for each movie is $2.75 and the rental cost for each video game was $5.75