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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?

 Jul 19, 2019
 #1
avatar+22896 
+2

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?

 

see: https://brainly.com/question/10682229

 

laugh

 Jul 19, 2019
 #2
avatar+102399 
+2

Let x be the number of games he won yesterday.......and let N be the total number of games that he played yesterday.....so....

 

x / N  = .85       ⇒      x = .85N     (1)

 

And let y be the number of games  he (played= won ) today....so...... 

 

total games won                           x + y

_________________  =             ______   =   .94      (2)

 total games played                     N + y

 

Sub (1) into (2)   and we have that

 

.85N + y

_______  = .94         multiply both sides by  N + y

   N + y

 

 

.85N + y   = .94(N + y)

.85N + y  = .94N + .94y

.06y = .09N

6y  = 9N

y = (9/6)N

y = (3/2)N  = 1.5N

But x  = .85N =  (17/20)N

So  N must be 20  for x to be an integer

And y  = 1.5N =   1.5(20) = 30

 

So....the minimum number of games he played today  =  30

 

 

cool cool cool

 Jul 19, 2019

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