Given:
Frankie purchased 3 video games for $x and a game system for $400.
He spent a total of $510.
To find:
The equation that can be used to determine the cost of one video game.
Solution:
We have,
Cost of game system (Fixed cost) = $400
Cost of 1 video game =
![\$x](https://img.qammunity.org/2022/formulas/mathematics/high-school/d3fv00frcm5bkcxqn7ejsb6mydl8aiymbv.png)
Cost of 3 video games =
![\$3x](https://img.qammunity.org/2022/formulas/mathematics/high-school/r0egx0zc08q11q6nfyh5urb3p7o295jk3h.png)
Now,
Total cost = Cost of game system + Cost of 3 video games
=
![\$400 + \$3x](https://img.qammunity.org/2022/formulas/mathematics/high-school/u1vkj5or1wjgj6xdyuivy1rut19c2ed22f.png)
=
![\$(400 + 3x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/g3y631jtnt4oobcjg8yuzx0oyrymquaxrc.png)
He spent a total of $510. It means, total cost is equal to $510.
![400+3x=510](https://img.qammunity.org/2022/formulas/mathematics/high-school/v5rvuvrcd8mkq5y54ra33isgoid6yil4p8.png)
Therefore, the required equation is
.