document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252839>Question 252839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane begins a flight with a total of 36.0 gal. of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank, 37.5% of the fuel is used. If the total fuel used is 11.2 gal., find the amounts x and y stored in each tank.\r<BR>\n" );
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document.write( "Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184934 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=184934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An airplane begins a flight with a total of 36.0 gal. of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank, 37.5% of the fuel is used. If the total fuel used is 11.2 gal., find the amounts x and y stored in each tank. <BR>\n" );
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document.write( "Start with 36 gal in 2 tanks.<BR>\n" );
document.write( "Use 11.2 gallons from both tanks.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "0.25x + 0.375y = 11.2<BR>\n" );
document.write( "x+y = 36<BR>\n" );
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document.write( "Modify the equations:<BR>\n" );
document.write( "250x + 375y = 11200<BR>\n" );
document.write( "250x + 250y = 36*250<BR>\n" );
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document.write( "Subtract the 2nd Eq. from the 1st and solve for \"y\":<BR>\n" );
document.write( "125y = 2200<BR>\n" );
document.write( "y = 17.6 gallons (amount in the 2nd tank)<BR>\n" );
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document.write( "Since x + y = 36, x = 36-17.6 = 18.4 gallons (amount in the 1st tank)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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