document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169808>Question 169808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem:<BR>\n" );
document.write( "Write a system of equations to solve the following problem. Be sure to identify what the variables represent. Then find the solution.\r<BR>\n" );
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document.write( "Ms. Jones purchased a total of $45,000 in stocks, bonds, and money market funds. The total she invested in bonds and money market funds was twice the amount she invested in stocks. The return rates on the stocks, bonds, and money market funds were 10.0%, 7.0%, and 7.5%, respectively. The total value of the return was $3,660. How much of each investment (stocks, bonds, and money market funds) did Ms. Jones purchase?\r<BR>\n" );
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document.write( "My attempt:\r<BR>\n" );
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document.write( "2x + 2x + x = 45000 (x = stocks with 2x = bonds and money market funds which are twice the amount of stocks)<BR>\n" );
document.write( "x(10%) + x(7%) + x(7.5%) =3600\r<BR>\n" );
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document.write( "Solving the first equation I get: 5x = 4500; x = 9000<BR>\n" );
document.write( "plug the value for x back into the equation and it adds up. ( 5 * 9000= 45000)<BR>\n" );
document.write( "Insert the values of x into the second equation and it does not add up.<BR>\n" );
document.write( "(9000 * 10%) + (18000 * 7%) + (18000 * 7.5) = 3510<BR>\n" );
document.write( "The answer is off by $150 (3660 - 3510 = 150)\r<BR>\n" );
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document.write( "Am I reading this word problem wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125199 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=125199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a system of equations to solve the following problem. Be sure to identify what the variables represent. Then find the solution. <BR>\n" );
document.write( "Ms. Jones purchased a total of $45,000 in stocks, bonds, and money market funds.<BR>\n" );
document.write( "Value Equation: s + b + m = 45000<BR>\n" );
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document.write( " The total she invested in bonds and money market funds was twice the amount she invested in stocks.<BR>\n" );
document.write( "Value Equation: b+m = 2s<BR>\n" );
document.write( "or 2s - b -m = 0<BR>\n" );
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document.write( " The return rates on the stocks, bonds, and money market funds were 10.0%, 7.0%, and 7.5%, respectively. The total value of the return was $3,660.<BR>\n" );
document.write( "Interest Equation: 0.10s + 0.07b + 0.075m = 3600<BR>\n" );
document.write( "or 10s + 7b + 75m = 360000<BR>\n" );
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document.write( " How much of each investment (stocks, bonds, and money market funds) did Ms. Jones purchase? <BR>\n" );
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document.write( "You have 3 equations with three variables:<BR>\n" );
document.write( " s  + b  +   m = 45000<BR>\n" );
document.write( "2s  - b  -   m = 0<BR>\n" );
document.write( "10s + 7b + 75m = 360000<BR>\n" );
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document.write( "Solve using any system you know to get:<BR>\n" );
document.write( "s = 15000<BR>\n" );
document.write( "b = 30000<BR>\n" );
document.write( "m = 0000<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );