document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=956313>Question 956313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basketball player has scored 10 free throws out of 18 tries.  He really wants to bring his free throw average up to at least 80%.  How many consecutive free throws must he score in order to bring up his average to 80%?\r<BR>\n" );
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document.write( "I know this has something to do with rational equations, because the whole chapter we have just done for algebra 2 was about rational equations. Including: internationalizing a denominator, complex fractions, using least common denominator to simplify proportions to solve by cross multiplying. How do you solve this problem?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584244 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=584244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> his average is now 10/18.\r<BR>\n" );
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document.write( "he wants to bring it up to 80%.\r<BR>\n" );
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document.write( "he will toss another x times.\r<BR>\n" );
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document.write( "since his average needs to be 80%, and since 80% is the same as .8 which is the same as 8/10, then:\r<BR>\n" );
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document.write( "(x + 10) / (x + 18) = 8/10\r<BR>\n" );
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document.write( "to solve this euatio0n, do the following:\r<BR>\n" );
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document.write( "cross multiply to get:\r<BR>\n" );
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document.write( "10 * (x + 10) = 8 * (x + 18)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "10x + 100 = 8x + 144\r<BR>\n" );
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document.write( "subtract 8x from both sides of the equation and subtract 100 from both sides of the equation to get:\r<BR>\n" );
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document.write( "10x - 8x = 144 - 100\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "2x = 44\r<BR>\n" );
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document.write( "divide both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "x = 22\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "(10 + x) / (18 + x) becomes (10 + 22) / ( 18 + 22) which becomes 32/40.\r<BR>\n" );
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document.write( "multiply 32/40 by (1/4) / (1/4) to get 8/10 is the same as .8 which is the same as 80%.\r<BR>\n" );
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