document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163792>Question 163792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1). How can $5,400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interest.\r<BR>\n" );
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document.write( "(2).  Two cars start from the same place traveling in opposite directions.  One car travels 4 miles per hours faster than the other car.  Find the speed their speeds if after 5 hrs they are 520 miles apart.\r<BR>\n" );
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document.write( "(3).  A tamk contains 50 gallons of a 40% solution of anitfreeze.  How much solution needs to be drained out and replaced with pure anti-freeze to obtain 50% solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120655 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=120655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How can $5,400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interest.<BR>\n" );
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document.write( "Equation: <BR>\n" );
document.write( "0.08x = 0.10(5400-x)<BR>\n" );
document.write( "8x = 10(5400-x)<BR>\n" );
document.write( "18x = 54000<BR>\n" );
document.write( "x = $3000<BR>\n" );
document.write( "5400-x = $2400<BR>\n" );
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document.write( " <BR>\n" );
document.write( "(2). Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hours faster than the other car. Find the speed their speeds if after 5 hrs they are 520 miles apart.<BR>\n" );
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document.write( "Let speed of one of the cars be \"x\" mph; Speed of other is \"x+4\" mph.<BR>\n" );
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document.write( "They are separating at x + x+4 = 2x+4 mph<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "d = rt<BR>\n" );
document.write( "520 miles = (2x+4)*5<BR>\n" );
document.write( "10x + 20 = 520<BR>\n" );
document.write( "10x = 500<BR>\n" );
document.write( "x = 50 mph (speed of 1st car)<BR>\n" );
document.write( "x+4 = 54 mph (speed of 2nd car)<BR>\n" );
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document.write( "(3). A tamk contains 50 gallons of a 40% solution of antifreeze. How much solution needs to be drained out and replaced with pure anti-freeze to obtain 50% solution?<BR>\n" );
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document.write( "anti-freeze - antifreeze = antifreeze\r<BR>\n" );
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document.write( "0.40(50-x) + x = 0.50*50<BR>\n" );
document.write( "40(50-x) + 100x = 50^2<BR>\n" );
document.write( "2000 + 60x = 2500<BR>\n" );
document.write( "x = 500/60<BR>\n" );
document.write( "x = 8 1/3 gallons<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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