Casey sells half of his video games. the next day he buys 3 more. he now has 27. how many video games did casey have at the beginning?

To solve this, it is helpful to set up an equation that reductions and additions of the games. The equation would be:

27 = 1/2v + 3

In this equation, v = the original number of video games. The 1/2 signifies Casey selling his games, and the + 3 shows Casey buying three more.

If we subtract 3 from both sides, we see that 1/2v = 24. Finally, we can multiply each side by 2 to isolate the variable, v, and we get v = 48.

Therefore our final answer is 48 video games.

Hope this is helpful!