document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204205>Question 1204205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thomas has $6000 invested among a checking account paying 2% annual interest, a savings account paying 5% annual interest, and a bond paying 7% annual interest. He earns $355 in annual interest and he has $2300 less invested in his savings account than in his bond. How much does he have invested 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 #840303 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=840303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Thomas has $6000 invested among a checking account paying 2% annual interest, a savings account paying 5% annual interest, and a bond paying 7% annual interest. He earns $355 in annual interest and he has $2300 less invested in his savings account than in his bond. How much does he have invested in each account?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thomas has  invested in a checking account paying 2% annual interest, Let amount be $x\r<BR>\n" );
document.write( "\n" );
document.write( " A savings account paying 5% annual interest,  let investment be  $y\r<BR>\n" );
document.write( "\n" );
document.write( "a bond paying 7% annual interest. Let investment be $z\r<BR>\n" );
document.write( "\n" );
document.write( "x+y+z=6000 ----------------------(1)\r<BR>\n" );
document.write( "\n" );
document.write( "He earns $355 in annual interest\r<BR>\n" );
document.write( "\n" );
document.write( "0.02x+0.05y+0.07z = 355-----------------(2)\r<BR>\n" );
document.write( "\n" );
document.write( "he has $2300 less invested in his savings account than in his bond.\r<BR>\n" );
document.write( "\n" );
document.write( "z-2300 =y\r<BR>\n" );
document.write( "\n" );
document.write( "0.02x+0.05y+0.07z= 355   From (2)\r<BR>\n" );
document.write( "\n" );
document.write( "0.02x+0.05(z-2300)+0.07z =355   (substitute y)\r<BR>\n" );
document.write( "\n" );
document.write( "0.02x+ 0.05z -115+0.07z=355\r<BR>\n" );
document.write( "\n" );
document.write( "0.02x+0.12z = 470-----------------------(3)\r<BR>\n" );
document.write( "\n" );
document.write( "multiply by 100\r<BR>\n" );
document.write( "\n" );
document.write( "2x +12z = 47000-------------------(4)\r<BR>\n" );
document.write( "\n" );
document.write( "x+y+z=6000 <BR>\n" );
document.write( "substitute z-2300=y\r<BR>\n" );
document.write( "\n" );
document.write( "x+z-2300 +z = 6000\r<BR>\n" );
document.write( "\n" );
document.write( "x+2z = 8300 -------------------(5)\r<BR>\n" );
document.write( "\n" );
document.write( "Solve (4) &(5)\r<BR>\n" );
document.write( "\n" );
document.write( "2x +12z = 47000<BR>\n" );
document.write( "x+2z = 8300  multiply by 2 and subtract\r<BR>\n" );
document.write( "\n" );
document.write( "2x+4z=16600\r<BR>\n" );
document.write( "\n" );
document.write( "8z = 30400<BR>\n" );
document.write( "z= 3800\r<BR>\n" );
document.write( "\n" );
document.write( "y= z-2300 <BR>\n" );
document.write( "3800-2300 = 1500\r<BR>\n" );
document.write( "\n" );
document.write( "x= 6000-3800-1500 =700\r<BR>\n" );
document.write( "\n" );
document.write( "Thomas has $700 invested in the checking account, $1500 in the savings account, and $3800 in the bond.\r<BR>\n" );
document.write( "\n" );
document.write( "CHECK\r<BR>\n" );
document.write( "\n" );
document.write( "700*2%+1500*5%+3800*7%= 355\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );