Astore sells used and new video games. new video games cost more than used video games. all used video games cost the same and all new video games also cost the same. yafreisy spent a total of $84 on 4 used video games and 2 new video games. ashley spent a total of $78 on 6 used video games and 1 new video game. brayan has $120 to spend. how many used video games can brayan purchase after purchasing 3 new video games? *

Brayne can purchase 5 used video games after the purchase of 3 new video games.

Let us say

Cost of each used video game = x

Cost of each new video game = y

According to question,

Yafreisy spent a total of $84 on 4 used video games and 2 new video games.

4x+ 2y = 84(i)

Ashley spent a total of $78 on 6 used video games and 1 new video game.

6x + y = 78(ii)

After solving pair of linear equations (i) and (ii)

An equation in the form of ax+by+c, where a,b and c are real numbers and a,b are not equal to zero, is called a linear equation in two variables.

x=9

y= 24

After purchasing 3 new video games, money left with Brayen:

120-3*24=$48

So, used video games that Brayen can buy after purchase of 3 new video games = 48/9 ≈5.4

Therefore, Brayne can purchase 5 used video games after the purchase of 3 new video games.

To get more about the pair of linear equations refer to:

link