document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=488190>Question 488190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mechanic has 340 gallons of gasoline and 10 gallons of oil to make gas/oil mixtures. He wants one mixture to be 4% oil and the other mixture to be 2.5% oil. If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333299 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=333299\">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;\" > = total gallons of gas + oil in the 4% oil mixture<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;\" > = total gallons of gas + oil in the 2.5% oil mixture<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "The % of gas in the 4% oil mixture is 96%<BR>\n" );
document.write( "The % of gas in the 2.5% oil mixture is 97.5%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+340+%2B+10+=+350+ ALIGN=MIDDLE  ALT=\"+340+%2B+10+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" > total gallons of gas + oil in the 2 mixtures<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+350+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.96a+%2B+.975b+=+340+ ALIGN=MIDDLE  ALT=\"+.96a+%2B+.975b+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.04a+%2B+.025b+=+10+ ALIGN=MIDDLE  ALT=\"+.04a+%2B+.025b+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Multiply both sides of (2) and (3) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1000+ ALIGN=MIDDLE  ALT=\"+1000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+350+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+960a+%2B+975b+=+340000+ ALIGN=MIDDLE  ALT=\"+960a+%2B+975b+=+340000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40a+%2B+25b+=+10000+ ALIGN=MIDDLE  ALT=\"+40a+%2B+25b+=+10000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Multiply both sides of (3) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+39+ ALIGN=MIDDLE  ALT=\"+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (2) from (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1560a+%2B+975b+=+390000+ ALIGN=MIDDLE  ALT=\"+1560a+%2B+975b+=+390000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-960a+-+975b+=+-340000+ ALIGN=MIDDLE  ALT=\"+-960a+-+975b+=+-340000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+600a+=+50000+ ALIGN=MIDDLE  ALT=\"+600a+=+50000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+83.333+ ALIGN=MIDDLE  ALT=\"+a+=+83.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+350+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+350+-+83.333+ ALIGN=MIDDLE  ALT=\"+b+=+350+-+83.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+266.667+ ALIGN=MIDDLE  ALT=\"+b+=+266.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.96a+=+.96%2A83.333+ ALIGN=MIDDLE  ALT=\"+.96a+=+.96%2A83.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.96a+=+80+ ALIGN=MIDDLE  ALT=\"+.96a+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallons<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+83.333+-+80+=+3.333+ ALIGN=MIDDLE  ALT=\"+83.333+-+80+=+3.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallons<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.975b+=+.975%2A266.667+ ALIGN=MIDDLE  ALT=\"+.975b+=+.975%2A266.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.975b+=+260+ ALIGN=MIDDLE  ALT=\"+.975b+=+260+\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallons<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+266.667+-+260+=+6.6667+ ALIGN=MIDDLE  ALT=\"+266.667+-+260+=+6.6667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "There are 80 gallons of gas in the 4% oil mixture<BR>\n" );
document.write( "There are 3 and 1/3 gallons of oil in the 4% oil mixture<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "There are 260 gallons of gas in the 2.5% oil mixture<BR>\n" );
document.write( "There are 6 and 2/3 gallons of oil in the 2.5% oil mixture<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+3+%2B+1%2F3+%2B+260+%2B+6+%2B+2%2F3+=+350+ ALIGN=MIDDLE  ALT=\"+80+%2B+3+%2B+1%2F3+%2B+260+%2B+6+%2B+2%2F3+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+349+%2B+3%2F3+=+350+ ALIGN=MIDDLE  ALT=\"+349+%2B+3%2F3+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+350+=+350+ ALIGN=MIDDLE  ALT=\"+350+=+350+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+%2B+260+=+340+ ALIGN=MIDDLE  ALT=\"+80+%2B+260+=+340+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+1%2F3+%2B+6+%2B+2%2F3+=+10+ ALIGN=MIDDLE  ALT=\"+3+%2B+1%2F3+%2B+6+%2B+2%2F3+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );