document.write( "Question 1209083: 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? \n" ); document.write( "
Algebra.Com's Answer #847658 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Our badminton team has finished 60% of its season. \n" ); document.write( "So far, we have won 90% of the games we played. \n" ); document.write( "What percent of the remainder of our games must we win in order \n" ); document.write( "to finish the season with the same number of wins as losses? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = number of games in the entire season\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your team has played 0.6n games so far. \n" ); document.write( "0.9*0.6n = 0.54n = number of games won.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At this point, just MORE THAN 0.5n games just won \n" ); document.write( "(which is more than one half of all games). \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, it is just NOT POSSIBLE to get 0.5n, even if all the rest 40% of the remaining games are lost.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "THE CONCLUSION. The question in the post, and, hence, the entire problem in the post \n" ); document.write( " are provocative \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The desired event can only happen if you rewind time back into the past \n" ); document.write( "and lose several games that were won earlier.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=======================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Please do not send your anathema to me for pointing error/errors in your post,\r \n" ); document.write( "\n" ); document.write( "as some other semi-idiots at this forum do, when I point to their errors in their posts.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Better, post your \" THANKS \" to me, as normal civilized people do \n" ); document.write( "(as it is commonly accepted among civilized people).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |