Question 1209083
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Our badminton team has finished 60% of its season. 
So far, we have won 90% of the games we played. 
What percent of the remainder of our games must we win in order 
to finish the season with the same number of wins as losses?
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n = number of games in the entire season


Your team has played 0.6n games so far.
0.9*0.6n = 0.54n = number of games won.


At this point,  just  MORE  THAN  0.5n  games  just won 
(which is more than one half of all games).  


So, it is just  NOT  POSSIBLE  to get  0.5n,  even if all the rest  40%  of the remaining games are lost.



<U>THE CONCLUSION</U>.  &nbsp;&nbsp;The question in the post, &nbsp;and, &nbsp;hence, the entire problem in the post 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;are provocative &nbsp;{{{highlight(highlight(nonsense))}}}.


The desired event can only happen if you rewind time back into the past 
and lose several games that were won earlier.



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