document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372105>Question 372105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please assist me with the equation set for this word problem.\r<BR>\n" );
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document.write( "Mary invested one amount at 8% simple interest, and a second amount at 5% interest, earning $49.16 in one year. If she had switched the amounts, she would have earned $52.37. What were the two amounts?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265089 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=265089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .08x+.05y=49.16<BR>\n" );
document.write( ".05x+.08y=52.37<BR>\n" );
document.write( "Multiply the first equation by 5 & the second equation by -8 & add them.<BR>\n" );
document.write( ".40x+.25y=245.80<BR>\n" );
document.write( "-.40x-.64y=-418.96<BR>\n" );
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document.write( "-.39y=-173.16<BR>\n" );
document.write( "y=-173.16/-.39<BR>\n" );
document.write( "y=$444 for one investment.<BR>\n" );
document.write( ".08x+.05*444=49.16<BR>\n" );
document.write( ".08x+22,20=49.16<BR>\n" );
document.write( ".08x=49.16-22.20<BR>\n" );
document.write( ".08x=26.96<BR>\n" );
document.write( "x=26.96/.08<BR>\n" );
document.write( "x=$337 for the secomd investment.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( ".05*337+.08*444=52.37<BR>\n" );
document.write( "16.85+35.52=52.37<BR>\n" );
document.write( "52.37=52.37   </SPAN>\n" );
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