Yesterday Teddy played a game repeatedly on his computer and won exactly 85% of his games he played. Today, Teddy played the same game repeatedly, winning every game he played, until his over-all winning percentage was exactly 94%. What is the minimum number of the games he played today?
94% = 94 / 100 = 47 / 50
So, for the winning percentage to be exactly 94%, Teddy must have played at least 50 games.
Let x be the number of games he played/winned today. We form an equation.
(85+x)/(100+x)=94/100
8500+100x=9400+94x
6x=900
x=150 games.