Question

One month Lucy rented 6 movies and 2 video games for a total of $18. The next month she rented 3 movies and 5 video games for a total of $30 . Find the rental cost for each movie and each video game.

Answer 1

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25

Explanation:

Let the cost of 1 movie is $x

Cost of 1 video game is $y

So, we can set up equations for the given information

6x+2y =18

3x+5y=30

Let's solve the equations.

Multiply the second equation by -2 to get rid the 'x' terms.

6x+2y =18

-6x-10y=-60

-----------------

-8y=-42

Divide both sides by -8

y=5.25

Now, plug in y as 5.25 into any of the given equations to find the corresponding x.

3x+5(5.25)=30

Simplify and solve for x.

3x+26.25=30

Subtract both sides 26.25

3x=3.75

Divide both sides by 3

x=1.25

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25