document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273545>Question 273545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student has money in three accounts that pay 5%, 7%, and 8% in annual interest. She has three times as much invested at 8% as she does at 5%. If the total amount she has invested is $2,700 and her interest for the year comes to $194, how much money does she have 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 #199791 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student has money in three accounts that pay 5%, 7%, and 8% in annual interest. She has three times as much invested at 8% as she does at 5%. If the total amount she has invested is $2,700 and her interest for the year comes to $194, how much money does she have in each account?\r<BR>\n" );
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document.write( "Let the student invest x amount in 5 % \r<BR>\n" );
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document.write( "5%------------7%-----------------8% ---------  Total\r<BR>\n" );
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document.write( "x-------2700-(x+3x)--------------3x---------   2700  Invested amount\r<BR>\n" );
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document.write( "The sum of all the 3 interests = 194\r<BR>\n" );
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document.write( "0.05x + 0.07* 2700-(x+3x)+ 0.08*3x = 194\r<BR>\n" );
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document.write( "0.05x +0.07*( 2700 -x-3x) +0.08*3x =194\r<BR>\n" );
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document.write( "0.05x + 189-0.28x + 0.24x=194\r<BR>\n" );
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document.write( "0.08x =194-189\r<BR>\n" );
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document.write( "x= 5/0.01\r<BR>\n" );
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document.write( "x= 500  in 5% account\r<BR>\n" );
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document.write( "3x = 1500 in 8 % account\r<BR>\n" );
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document.write( "2700-(500+1500) = 700 in 7 % account \r<BR>\n" );
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document.write( " </SPAN>\n" );
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