document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159813>Question 1159813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you decide to make two investments that yield the same return, how much did you invest in each?<BR>\n" );
document.write( "(1) Of the total amount invested, 3/10 of it plus $600,000.00 invested in the first one.<BR>\n" );
document.write( "(2) At the end of the first year you received $150,000.00 in total return.\r<BR>\n" );
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document.write( "A) (1) on its own.<BR>\n" );
document.write( "B) (2) on your own.<BR>\n" );
document.write( "C) Both (1) and (2) together.<BR>\n" );
document.write( "D) Each on its own, (1) or (2).<BR>\n" );
document.write( "E) Additional information is required. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782950 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> as far as i can see, you probably need both 1 and 2 plus some additional information, like the interest rate.\r<BR>\n" );
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document.write( "my reasoning is as follows:<BR>\n" );
document.write( "let x = the amount of the original investment.<BR>\n" );
document.write( "first investment was 3/10 * x + 600,000<BR>\n" );
document.write( "second investment would be 7/10 * x - 600,000.<BR>\n" );
document.write( "the reason for this is the total investment has to be x, therefore:<BR>\n" );
document.write( "3/10 * x + 600,000 + 7/10 * x - 600,000 = x.<BR>\n" );
document.write( "if you let y equal the common interest rate, then the formula for the interest becomes:<BR>\n" );
document.write( "(3/10 * x + 600,000) * y + (7/10 * x - 600,000) * y = 150,000<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "3/10 * xy + 600,000 * y + 7/10 * xy - 600,000 * y = 150,000<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "xy = 150,000<BR>\n" );
document.write( "x is the original investment.<BR>\n" );
document.write( "y is the interest rate.\r<BR>\n" );
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document.write( "you can't find the original investment because you don't know what the interest rate is.<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "assume the interest rate was 10%.<BR>\n" );
document.write( "the formula would then become x * .10 = 150,000<BR>\n" );
document.write( "you would then solve for x to get x = 150,000 / .10 = 1,500,000.<BR>\n" );
document.write( "the first investment would be 3/10 * that + 600,000 = 1,050,000.<BR>\n" );
document.write( "the second investment would be 7/10 * that - 600,000 = 450,000.<BR>\n" );
document.write( "total investment would be 1,050,000 + 450,000 = 1,500,000.<BR>\n" );
document.write( "interest for first investment would be 105,000.<BR>\n" );
document.write( "interest for second investment would be 45,000.<BR>\n" );
document.write( "total interest would be 105,000 + 45,000 = 150,000.\r<BR>\n" );
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document.write( "if you assumed an interest rate, then you could find the amount of the original investment.<BR>\n" );
document.write( "without that, you're out of luck, because you don't have sufficient information.\r<BR>\n" );
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document.write( "that's what i'm thinking. </SPAN>\n" );
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