document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288280>Question 288280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are need to make 50 gallons of the mixture?\r<BR>\n" );
document.write( "\n" );
document.write( "{maple syrup:  gallons, corn syrup: gallons}<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 #854237 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53765)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Maple syrup worth $6.00 a gallon and corn syrup worth .80 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28cents%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28cents%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <U>dollars</U> a gallon <BR>\n" );
document.write( "are used to make a mixture worth $2.36 a gallon. <BR>\n" );
document.write( "How many gallons of each kind of syrup are need to make 50 gallons of the mixture?<BR>\n" );
document.write( "{maple syrup: gallons, corn syrup: gallons}<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;There was an obvious typo in the post - I fixed it to make the problem as accurate as it should be.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @mananth has arithmetic error on the way, which leads to wrong answer.\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct/accurate solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let quantity of maple syrup used be x gallons<BR>\n" );
document.write( "corn syrup used will be 50-x gallons<BR>\n" );
document.write( "6*x + 0.8*(50-x) = 2.36*50<BR>\n" );
document.write( "6x + 40 - 0.8x = 118.00<BR>\n" );
document.write( "5.2x = 118-40<BR>\n" );
document.write( "5.2x = 78<BR>\n" );
document.write( "x = 78/5.2<BR>\n" );
document.write( "x = 15 gallons of  the maple syrup<BR>\n" );
document.write( "35 gallons will be the corn syrup.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<U>CHECK</U> &nbsp;&nbsp;for the unit price of the final mixture:  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2A15+%2B+0.8%2A35%29%2F50 ALIGN=MIDDLE  ALT=\"%286%2A15+%2B+0.8%2A35%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.36 dollars per gallon. &nbsp;&nbsp;&nbsp;&nbsp;! Precisely correct !\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solved correctly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );