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?

Guest Jul 19, 2019

#1**+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**

heureka Jul 19, 2019

#2**+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

CPhill Jul 19, 2019