One month Bob rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a total of $38. Find the rental cost for each movie and each video game.

Question

One month Heather rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a total of $38. Find the rental cost for each movie and each video game.

Answer 1

2m +3v =20

multiply by 3

6m +9v =60

6m +5v =38

subtract

4v = 22

v = 22/4 = $5.50 = video price

m =(20 -3v)/2 =(20-16.5)/2

= 3.50/2 = $1.75 = movie price

check the answers

6(1.75)+5(5.5)=10.5+27.5=38