document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209083>Question 1209083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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? </SPAN>\n" );
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document.write( "n = number of games in the entire season\r<BR>\n" );
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document.write( "Your team has played 0.6n games so far.<BR>\n" );
document.write( "0.9*0.6n = 0.54n = number of games won.<BR>\n" );
document.write( "n-0.54n = 0.46n = number of games lost.\r<BR>\n" );
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document.write( "There are n-0.6n = 0.4n games remaining.\r<BR>\n" );
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document.write( "Let x be a number between 0 and 1 such that it represents the decimal form of the percentage of games to win from here on out.<BR>\n" );
document.write( "For example, if x = 0.2 then it means you need to win 20% of the remaining games.\r<BR>\n" );
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document.write( "x*0.4n = number of additional games to win\r<BR>\n" );
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document.write( "Add up the wins and set them equal to the number of losses.<BR>\n" );
document.write( "0.54n + x*0.4n = 0.46n<BR>\n" );
document.write( "0.54 + x*0.4 = 0.46<BR>\n" );
document.write( "If you solved for x, you would get x = -0.2<BR>\n" );
document.write( "Since it's not between 0 and 1, it appears your teacher has made a typo when setting up this problem. <BR>\n" );
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