Admissions to a carnival is $5 and each game at the carnival costs 0.85 you have $15 to spend on admissions and games what is the maximum number of games you can play

You have $15 and admission is $5, so you know have $10 before doing any games. If you wanted to play 12 games, you would need $10.20, which you do not have. But, if you wanted to play 11 games, then you would need $9.35, which is just under $10.

So the maximum amount of games that you could play would be 11 games. 

The 8th term is 512