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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
+24089
+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

Jul 19, 2019
#2
+107348
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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

Jul 19, 2019