document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163118>Question 1163118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam saved his money until he had $10 000 to invest. He invested x dollars into a certificate of deposit with an annual interest of 2.0%, and the remaining y dollars into a mutual fund with an annual interest rate of 1.5%. If his total interest earned from both accounts after one year was $193, which of the following is the value of y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787116 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=787116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a quick and easy way to solve a \"mixture\" problem like this if a formal algebraic solution is not required.<br><BR>\n" );
document.write( "All $10,000 invested at 1.5% would yield $150 interest; all at 2% would yield $200 interest.<br><BR>\n" );
document.write( "The actual interest, $193, is 43/50 of the way from $150 to $200.  (Picture the three numbers on a number line -- 150 to 200 is a difference of 50; 150 to 193 is a difference of 43.)<br><BR>\n" );
document.write( "That means 43/50 of the total was invested at 2%; so 7/50 of the total was invested at 1.5%.<br><BR>\n" );
document.write( "ANSWER: The amount invested at 1.5% was 7/50 of $10,000, which is $1400.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".015(1400)+.02(8600) = 21+172 = 193<br><BR>\n" );
document.write( " </SPAN>\n" );
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