document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201048>Question 1201048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James invests a total of $23,000 into accounts. The first account earned a rate of return of 10% after a year. However, the second account suffered a 3% loss and the same time period. at the end of one year the total amount of money gained was -$235 how much was invested into 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 #835301 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=835301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = amount invested in the 1st account<BR>\n" );
document.write( "y = amount invested in the 2nd account\r<BR>\n" );
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document.write( "x+y = 23000 total invested<BR>\n" );
document.write( "That can be solved to y = 23000-x<BR>\n" );
document.write( "I'll use it in a substitution step later on.\r<BR>\n" );
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document.write( "10% of x = 0.10x = gains from the 1st account<BR>\n" );
document.write( "-3% of y = -0.03y = loss from the 2nd account<BR>\n" );
document.write( "0.10x-0.03y = -235 net loss\r<BR>\n" );
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document.write( "0.10x-0.03y = -235<BR>\n" );
document.write( "0.10x-0.03( y ) = -235<BR>\n" );
document.write( "0.10x-0.03( 23000-x ) = -235 .... substitution step<BR>\n" );
document.write( "0.10x-0.03( 23000 ) - 0.03(-x) = -235<BR>\n" );
document.write( "0.10x-690 +0.03x = -235<BR>\n" );
document.write( "0.13x-690 = -235<BR>\n" );
document.write( "0.13x = -235+690<BR>\n" );
document.write( "0.13x = 455<BR>\n" );
document.write( "x = 455/0.13<BR>\n" );
document.write( "x = 3500\r<BR>\n" );
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document.write( "Use this to find y<BR>\n" );
document.write( "y = 23000-x<BR>\n" );
document.write( "y = 23000-3500<BR>\n" );
document.write( "y = 19500\r<BR>\n" );
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document.write( "He invested $3500 in the first account and gained 0.10*3500 = 350 dollars.<BR>\n" );
document.write( "He also invested $19,500 in the second account and lost 0.03*19500 = 585 dollars.<BR>\n" );
document.write( "The net loss is 350-585 = -235 which matches what the instructions mentioned.<BR>\n" );
document.write( "The answers are confirmed.\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "<font color=red>$3500</font> invested in the first account.<BR>\n" );
document.write( "<font color=red>$19,500</font> invested in the second account.<BR>\n" );
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