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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?

 Jul 17, 2020
 #1
avatar+23246 
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94%  =  94 / 100  =  47 / 50

 

So, for the winning percentage to be exactly 94%, Teddy must have played at least 50 games.

 Jul 17, 2020
 #2
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That answer is wrong.

Guest Jul 17, 2020
 #3
avatar+33615 
+1

As follows:

 Jul 17, 2020
 #4
avatar+781 
+1

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.

 Jul 17, 2020

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