document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107081>Question 1107081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One solution contains 2 parts salt to 8 parts water, and another contains 3 parts salt to 5 parts water. How much of each should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water?\r<BR>\n" );
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document.write( "ANSWER: __ quarts and ____ quarts respectively\r<BR>\n" );
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document.write( "Thanks for helping! <3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722239 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let's convert these solutions to percent salt<BR>\n" );
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document.write( "One solution contains 2 parts salt to 8 parts water, and <BR>\n" );
document.write( "solution a: 2/10 = .2 solution is 20% salt<BR>\n" );
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document.write( " another contains 3 parts salt to 5 parts water.<BR>\n" );
document.write( "solution b: 3/8 = .375 solution is 37.5% salt<BR>\n" );
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document.write( " How much of each should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water?<BR>\n" );
document.write( "3/10 = .30 resulting solution is 30% salt<BR>\n" );
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document.write( "A mixture equation in decimal form<BR>\n" );
document.write( ".2a + .375b = .30(280)<BR>\n" );
document.write( "a + b = 280<BR>\n" );
document.write( "a = 280 - b<BR>\n" );
document.write( "In the 1st equation replace a with (280-b)<BR>\n" );
document.write( ".2(280-b) + .375b = .30(280)<BR>\n" );
document.write( "56 - .2b + .375b = 84<BR>\n" );
document.write( ".175b = 84 - 56<BR>\n" );
document.write( ".175b = 28<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F.175 ALIGN=MIDDLE  ALT=\"28%2F.175\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 160 qts of 37.5% solution (3:5<BR>\n" );
document.write( "then<BR>\n" );
document.write( "280 - 160 = 120 qts of the 20% solution (2:8)<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( ".2(120) + .375(160) = .3(280)<BR>\n" );
document.write( "24 + 60 = 84\r<BR>\n" );
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