document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154741>Question 1154741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In investing &5500 of a couples money, a financial planner put some of it into savings paying 6% annual simple interest. The rest was invested in a riskier minimall development plan paying 12% annual simple interest. The combined interest earned the first year was $522. How much money was invested at each rate </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777238 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a solution using the method I like best for \"mixture\" problems like this.<br><BR>\n" );
document.write( "If you understand the method, and if an algebraic solution is not required, you will get to the answer faster and with much less work than using algebra.<br><BR>\n" );
document.write( "(1) All $5500 invested at 6% would yield $330 interest; all at 12% would yield $660 interest.<br><BR>\n" );
document.write( "(2) The actual interest of $522 is 32/55 of the way from $330 to $660.  ($330 to $660 is a difference of $330; $330 to $522 is a difference of $192; 192/330 = 32/55.<br><BR>\n" );
document.write( "(3) That means 32/55 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 32/55 of $5500, or $3200, at 12%; the other $2300 at 6%.<br><BR>\n" );
document.write( "CHECK: .12(3200)+.06(2300) = 384+138 = 522<br><BR>\n" );
document.write( " </SPAN>\n" );
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