document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213718>Question 213718</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618820728/algebrahomeworkh>Algebra Beginning and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How much water must be evaporated from 10gal of a 12% sugar solution in order to obtain a 15% sugar solution?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161446 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = amount of water to be evaporated\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The equation will be <BR>\n" );
document.write( "Amount of sugar beginning - Amt sugar evap = Amt sugar at the end<BR>\n" );
document.write( "10 gallons * 12% - 0 sugar evaporates = (10-x)gallons * 15%<BR>\n" );
document.write( ".12(10)-0 = .15(10-x)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply both sides by 100 to clear the decimals:<BR>\n" );
document.write( "12*10 = 15(10-x)<BR>\n" );
document.write( "120 = 150-15x<BR>\n" );
document.write( "-30 = -15x<BR>\n" );
document.write( "x= 2 gallons to evaporate\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:  <BR>\n" );
document.write( "Amount of sugar before =10*.12 = 1.2 pounds<BR>\n" );
document.write( "Amount of sugar after = 8*.15 =1.2 pounds\r<BR>\n" );
document.write( "\n" );
document.write( "It checks!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );