Yesterday, teddy played a game repeatedly on his computer and won exactly 85% of the games he played. today, teddy played the same game repeatedly, winning every game he played, until his overall winning percentage for yesterday and today was exactly 94%. what is the minimum number of games that he played today?

30 games

Step-by-step explanation:

As a reduced fraction 85% is equal to 85/100 = 17/20. Therefore, the number of games Teddy played yesterday must have been a multiple of 20. Suppose Teddy played 20m games, so he won 17m games.

Also, suppose Teddy played n games today. As a reduced fraction, 94% is equal to 94/100 = 47/50. Since Teddy won every game he played today, we have

(17m + n)/(20m + n) = 47/50

Cross-multiplying, we get 850m + 50n = 940m + 47n. Then 3n = 90m, so n = 30m. Therefore, the minimum number of games that Teddy played today is 30.

a² + b²= c²

24² + 7² = c²

c= 25