document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005919>Question 1005919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anne plays tennis for her school. In April, she won 12/20 matches and calculated her winning percentage by dividing the total of wins over the total number of games. Her winning percentage is therefore 60%. In the next 2.5 months she played many more games, winning every single one. Her winning percentage improved to 90%. Her goal was to end the season with a winning percentage of 75% to beat the current school record. How many matches can she now lose in a row and still achieve her goal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622063 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, to reach 90% after playing x more games, we write<BR>\n" );
document.write( "(12 + x)/(20 + x) = .9<BR>\n" );
document.write( "12 + x = 18 + .9x<BR>\n" );
document.write( ".1x = 6<BR>\n" );
document.write( "x = 60 games<BR>\n" );
document.write( "so that her record is 72 out of 80.<BR>\n" );
document.write( "Now we need to find the number of y games she can lose...<BR>\n" );
document.write( "72 / (80 + y) = .75<BR>\n" );
document.write( "so that<BR>\n" );
document.write( "72 = 60 + .75y<BR>\n" );
document.write( "12 = .75y<BR>\n" );
document.write( "y = 16 games she can lose and still have a 75% winning percentage.<BR>\n" );
document.write( " </SPAN>\n" );
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