Answer:
Mary has 16 video games.
Explanation:
Let John be
and Mary be
![x+2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9k4cll874sz35134zsbzj3rrpbs46ewatt.png)
Equation:
![x+(x+2)=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z0g2kooesrvn5mc84yjkwmd5olr289jm63.png)
Combine like terms:
![2x+2=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1qqcqz4cd1o2zfskodklmeln1dkyciqb3v.png)
Subtract 2 from both sides:
![2x=28](https://img.qammunity.org/2021/formulas/mathematics/college/s3qutbpz0g7eo49u5cnjei0wga0j8lju3w.png)
Divide both sides by 2:
![(2x)/(2) =(28)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/prkpa0d88202olkpddke8hj0al57vklqlj.png)
![x=14](https://img.qammunity.org/2021/formulas/mathematics/college/8l3pjzq1tq900sga6czqa0mjuhiniy8khn.png)
Hold up!
In the beginning, we set
as John, and
as Mary. The question asks for Mary, so
.
Let's check our work:
![x+(x+2)=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z0g2kooesrvn5mc84yjkwmd5olr289jm63.png)
Replace
for 14...
![14+(14+2)=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uwf9ww7n39u7o3d50bu2fy0350prx6qusl.png)
![14+16=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l10qrpnin0bic2jmec5pbe68bmud4os17i.png)
![30=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kv819g86822lzacrdjx3z6odatbxsdw7mz.png)
Hope this helped! :)