document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549420>Question 549420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A total of $15,000 is invested in two accounts. One of the two accounts pays 8% per year, and the other account pays 12% per year. If the total interest paid in the first year is $1,600, how much was invested in each account?\r<BR>\n" );
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document.write( "Two answers are needed amount for 8% account and money made for 12% account.<BR>\n" );
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 #357742 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = amt invested at 8%<BR>\n" );
document.write( "Let y = amt invested at 12%<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "A total of $15,000 is invested in two accounts.<BR>\n" );
document.write( "x + y = 15000<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = (15000-y), we can use this form for substitution<BR>\n" );
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document.write( " One of the two accounts pays 8% per year, and the other account pays 12% per year.<BR>\n" );
document.write( " If the total interest paid in the first year is $1,600,<BR>\n" );
document.write( ".08x + .12y = 1600<BR>\n" );
document.write( "substitute (15000-y) for x, find y<BR>\n" );
document.write( ".08(15000-y) + .12y = 1600<BR>\n" );
document.write( "1200 - .08y + .12y = 1600<BR>\n" );
document.write( "-.08y + .12y = 1600 - 1200<BR>\n" );
document.write( ".04y = 400<BR>\n" );
document.write( "y = 400/.04<BR>\n" );
document.write( "y = $10,000 invested at 12%<BR>\n" );
document.write( "then<BR>\n" );
document.write( "15000 - 10000 = $5,000 invested at 8%<BR>\n" );
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document.write( "You can check this out<BR>\n" );
document.write( ".08(5000) + .12(1000) =\r<BR>\n" );
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