One month Josh rented 5 movies and 3 video games for a total of 37. The next month he rented 2 movies and 6 video games for a total of 40. Find the rental cost for each movie and each video game.

Question

Rental Cost for each Movie:

Rental Cost for each Video Game

Answer 1

Let x be the cost of each movie and y be the cost of each vdo game

You will get a system of equations with two unknowns.

5x + 3y = 37

2x + 6y = 40

Solve them using one of the 3 methods.

I will show you using elimination method.

Multiply equation 1 by 2.

10x + 6y = 74

Subtract equation 2 from this

8x = 34

X = 34/8 ( dividing both sides by 8)

Cost of movie, x = $4.25

Substitute this value in equation 2.

2(4.25) + 6y = 40

8.5 + 6y =40

6y= 31.5

Y = 5.25

Cost of vdo game= $5.25

Please substitute these values in first equation 5x + 3y = 37 to check your solution.

Hope this helps!