document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181917>Question 181917</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078603919/algebrahomeworkh>algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> martha has $6000 to invest. she puts x dollars of this money into a savings account that earns 3% per year, and with the rest, she buys a certificate of deposit that earns 6% per year. suppose at the end of one year, martha has a total of $6315. how much money did martha invest in each account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136583 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=136583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x---money invested at 3%<BR>\n" );
document.write( "y---money invested at 6%\r<BR>\n" );
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document.write( "1x+1y=6000----------b/c she has 6000 to invest<BR>\n" );
document.write( "1.03x+1.06y=6315-------------b/c of the percent of investment and the final amount of money\r<BR>\n" );
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document.write( "solve eq. 1 for x<BR>\n" );
document.write( "x=6000-y\r<BR>\n" );
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document.write( "plug that in to the second eq.<BR>\n" );
document.write( "1.03(6000-y)+1.06y=6315\r<BR>\n" );
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document.write( "Distribute<BR>\n" );
document.write( "6180-1.03y+1.06y=6315\r<BR>\n" );
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document.write( "Combine like terms<BR>\n" );
document.write( ".03y=135\r<BR>\n" );
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document.write( "Solve for y<BR>\n" );
document.write( "y=4500\r<BR>\n" );
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document.write( "x=6000-y<BR>\n" );
document.write( "x=6000-4500<BR>\n" );
document.write( "x=1500\r<BR>\n" );
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document.write( "Check answers:<BR>\n" );
document.write( "x+y=6000<BR>\n" );
document.write( "1500+4500=6000-------true\r<BR>\n" );
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document.write( "1.03(1500)+1.06(4500)=6315-----true<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "money invested at 3%----$1500<BR>\n" );
document.write( "money invested at 6%----$4500 </SPAN>\n" );
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