document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395040>Question 395040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a juice concentrate that is 90% juice and 10% water. I want to take that concentrate and make it into a 50% juice concentrate. How much water do I add? In addition, if I added sugar would that alter the % of the concentrate and if so by how much. Is there a formula for both of the above? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280383 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount of 90% mixture to use<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount of water to add<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(total juice)/(total mixture) = 50%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.9a%2F%28a+%2B+b%29+=+.5 ALIGN=MIDDLE  ALT=\".9a%2F%28a+%2B+b%29+=+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 2 unknowns and only 1 equation, so it's<BR>\n" );
document.write( "not solvable unless I know how much 50% mixture <BR>\n" );
document.write( "I end up with, then I can write the 2nd equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b ALIGN=MIDDLE  ALT=\"a+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount of 50% mixture<BR>\n" );
document.write( "However, I can show that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.9a%2F%28a+%2B+b%29+=+.5 ALIGN=MIDDLE  ALT=\".9a%2F%28a+%2B+b%29+=+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.9a+=+.5a+%2B+.5b ALIGN=MIDDLE  ALT=\".9a+=+.5a+%2B+.5b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4a+=+.5b ALIGN=MIDDLE  ALT=\".4a+=+.5b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a+=+5b ALIGN=MIDDLE  ALT=\"4a+=+5b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb+=+5%2F4 ALIGN=MIDDLE  ALT=\"a%2Fb+=+5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the ratio of added water to 90% mixture is  5/4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "I don't have a clue about adding sugar\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );