Answer:
Maddox has 18 video games
Bridger has 24 video games
Explanation:
Let
x------> the number of video games Maddox has
y------> the number of video games Bridger has
we know that
-----> equation A
![(x)/(y)=(3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/sxfeehl35m7f4uzwhxwrxkftsc7ehy3o6p.png)
-----> equation B
substitute equation B in equation A and solve for y
![((3)/(4)y)+y=42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/etflbhvhxot0n3rwrt6322kj9vrfggsz8g.png)
![(7)/(4)y=42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pqh0xktftku86i8i10vfqmytz8iadkk94k.png)
![y=42*4/7=24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eccogeorn6cew6n8bbe5vfcz3m5uk4tq52.png)
Find the value of x
![x=(3)/(4)(24)=18](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g4st9eiyjo34t9tgtwt8yqtmv82coq2v1l.png)
therefore
Maddox has 18 video games
Bridger has 24 video games