document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544062>Question 544062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with the following word problem (I am pretty certain that it has to do with system of equations): A mechanic has 351 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He wants one mixture to be 6% 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?\r<BR>\n" );
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document.write( "I have tried putting it into two equations .06x+.025y=18 and .94x+.975y=351 and then using the substitution method to solve for x and y. Yet my answers only become true for the first equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355018 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=355018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A mechanic has 351 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. <BR>\n" );
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document.write( "He wants one mixture to be 6% oil and the other mixture to be 2.5% oil. <BR>\n" );
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document.write( "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? <BR>\n" );
document.write( "I have tried putting it into two equations .06x+.025y=18 and .94x+.975y=351 and then using the substitution method to solve for x and y. Yet my answers only become true for the first equation<BR>\n" );
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document.write( ".06x+.025y=18 <BR>\n" );
document.write( ".94x+.975y=351<BR>\n" );
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document.write( "I used a Matrix method on a TI-84 and got:<BR>\n" );
document.write( "x = 250.71 gallons <BR>\n" );
document.write( "y = 118.29 gallons<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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