Omar spent a total of $84 on 4 used video games and 2 new video games. sally spent a total of $78 on 6 used video games and 1 new video game. janet has $120 to spend. enter the number of used video games janet can purchase after she purchases 3 new video games.

She can purchases 5 used video games.

5 used video games

First create a system of inequalities:
Let x=used video games
Let y=new video games

4x+2y=84
6x+y=78

now you would solve for x and y which $9 each for used video games and $24 each for new video games.

Now create and equation for Janet to find out how many used videos she can buy after knowing that she had already bought 3 new video games.

Janet's equation:
Let g=number of used video games.
gx+3y=120

Plug into the equation the solution set for x and y
g(9)+3(24)=120

Now solve for g:
g(9)+72=120

g(9)=48

g=5.33333333333333

Since she cant buy 1/3 it would round to 5.