A team won 3 of their first 10 games. If they win the next n games, they will have won 50% of their games. What is the value of n?

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Games played so far = 10 Games won so far = 3 % won so far = 30% Win the next 10 games: played 20, won 13, % won = 65% ( = 13/20) ... too much games won = 3 + n games played = 10 + n (3 + n) / (10 + n) = 50% = 1/2

So (3 + n)/(10 + n) = 1/2 --->> (3+n) = (1/2)(10+n) 3 + n = 10/2 + n/2 (1/2)n = 10/2 - 3 = 10/2 - 6/2 = 4/2 = 2 (1/2)n = 2 n = 4 CHECK: won 3 games out of 10, winning % = 30% Win next 4 games... total games won = 7, total games played = 14, win % = 7/14 = 50%

sorry for the initial mistake :)

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