document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184068>Question 1184068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In investing $5,650 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 10% annual simple interest. The combined interest earned for the first year was $445. How much money was invested at each rate?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849881 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to solve this problem:\r<BR>\n" );
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document.write( "**Let:**\r<BR>\n" );
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document.write( "*  'x' be the amount invested in the savings account at 4% interest.<BR>\n" );
document.write( "*  'y' be the amount invested in the mini-mall development at 10% interest.\r<BR>\n" );
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document.write( "**Set up the equations:**\r<BR>\n" );
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document.write( "* **Equation 1 (Total investment):** x + y = 5650<BR>\n" );
document.write( "* **Equation 2 (Total interest):** 0.04x + 0.10y = 445\r<BR>\n" );
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document.write( "**Solve the equations:**\r<BR>\n" );
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document.write( "One way to solve this is using substitution:\r<BR>\n" );
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document.write( "1. **Solve Equation 1 for x:**  x = 5650 - y\r<BR>\n" );
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document.write( "2. **Substitute this value of x into Equation 2:**<BR>\n" );
document.write( "   0.04(5650 - y) + 0.10y = 445\r<BR>\n" );
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document.write( "3. **Simplify and solve for y:**<BR>\n" );
document.write( "   226 - 0.04y + 0.10y = 445<BR>\n" );
document.write( "   0.06y = 219<BR>\n" );
document.write( "   y = 3650\r<BR>\n" );
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document.write( "4. **Substitute the value of y back into Equation 1 to find x:**<BR>\n" );
document.write( "   x + 3650 = 5650<BR>\n" );
document.write( "   x = 2000\r<BR>\n" );
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document.write( "**Answer:**\r<BR>\n" );
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document.write( "* $2000 was invested in the savings account at 4% interest.<BR>\n" );
document.write( "* $3650 was invested in the mini-mall development at 10% interest.<BR>\n" );
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