document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186835>Question 1186835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mistake at the foundry has caused a 55.8 litre alloy of bronze to contain only 7% of tin instead of the necessary 13%.<BR>\n" );
document.write( "How much tin needs to be added to the bronze to fix the mistake?<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 #817813 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=817813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the amount of tin is currently .07 * 55.8 liters = 3.906 liters.\r<BR>\n" );
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document.write( "let x equal the amount of bronze that needs to be added.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "3.906 + x = .13 * (55.8 + x).\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "3.906 + x = 7.254 + .13 * x\r<BR>\n" );
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document.write( "subtract .13 * x from both sides of the equation and subtract 3.906 from both sides of the equation to get:\r<BR>\n" );
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document.write( "x - .13 * x = 7.254 - 3.906\r<BR>\n" );
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document.write( "combine like terms and simplify to get:\r<BR>\n" );
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document.write( ".87 * x = 3.348.\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 3.348 / .87 = 3.848275862.\r<BR>\n" );
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document.write( "that's the amount of bronze that needs to be added to make the percentage of bronze equal to 13%.\r<BR>\n" );
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document.write( "you have 3.906 + 3.848275862 = 7.754275862 liters of bronze in a total of 55.8 + 3.48275862 = 59.64827586 liters.\r<BR>\n" );
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document.write( "the percentage of bronze is 7.754275862 / 59.64827586 = .13 * 100 = 13%.\r<BR>\n" );
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