Answer:
Tim purchased 6 video games.
Explanation:
Let's set the number of games Time purchased as x.
Due to each game costing $25, the total amount of money used on buying games would be ($25)x.
Hence, as the total amount of money used to buy both the console and the video games would be $350, the equation can be set as:
![\$25x + \$200 = \$350](https://img.qammunity.org/2021/formulas/mathematics/high-school/3vb8fm61uvyjtvdcpmjdui125fzj8zh0ds.png)
![\$25x = \$(350 - 200)](https://img.qammunity.org/2021/formulas/mathematics/high-school/f758sivzaocypzjya3cqryaekolqkrebzc.png)
![x = (\$150)/(\$25)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pdut9t0exvwbr8hmeevp9f7ypa052u7vft.png)
![x = 6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rfxeu0rgxtdic6lqlcq5waa012fmosd2e9.png)
Therefore, Tim purchased 6 video games.
Hope this helped!