document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68320>Question 68320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An oil company wants to mix two grades of rocket fuel costing $3 and $4 per gallon,respectively with purified ethanol costing $8 per gallon to obtain 140 gallons of hybrid fuel costing NASA $6 per gallon. If the oil company also wants the amount of lower grade fuel to be twice that of higher-grade rocket fuel,how many gallons of each variety of fueling product should be mixed?<BR>\n" );
document.write( "- define your unknowns in terms of x,y etc.<BR>\n" );
document.write( "-write down a linear function of equations representing the information given<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 #48606 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An oil company wants to mix two grades of rocket fuel costing $3 and $4 per gallon,respectively with purified ethanol costing $8 per gallon to obtain 140 gallons of hybrid fuel costing NASA $6 per gallon. If the oil company also wants the amount of lower grade fuel to be twice that of higher-grade rocket fuel,how many gallons of each variety of fueling product should be mixed?<BR>\n" );
document.write( "- define your unknowns in terms of x,y etc.<BR>\n" );
document.write( "-write down a linear function of equations representing the information given<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Let amount of $3 fuel be x ; value is 3x dollars<BR>\n" );
document.write( "Let amount of $4 fuel be 2x; value is 4(2x)=8x dollars <BR>\n" );
document.write( "Let amount of ethanol fuel be 140-3x: value = 8(140-3x)=1120-24x dollars <BR>\n" );
document.write( "Amount of mixture = 140 gallons: value = 6*140=840<BR>\n" );
document.write( "EQUATIOn:<BR>\n" );
document.write( "value+value+value= 840 dollars<BR>\n" );
document.write( "2x+8x+1120-24x=840<BR>\n" );
document.write( "-14x=--280<BR>\n" );
document.write( "x=20 gals (amount of $3 fuel in mixture)<BR>\n" );
document.write( "2x=40 gals (amount of $4 fuel in mixture)<BR>\n" );
document.write( "140-60=80 gals (amount of $8 ethanol in the mixture)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );