So, you have $15 in total to spend.
1. Subtract your admission fee. 15-5=10
2. Divide 10 by .85 to get the number of games you were able to play. 10 divided by .85 = 11.76
3. Now, since it says the minimum you were able to play, round to the nearest digit. 11.76=11
You were able to play a minimum of 1 game and a maximum of 11 games.