document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144936>Question 144936</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0974903620/algebrahomeworkh>Teaching Textbooks Alg 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Pasternak invested $100,000 in two different healthcare companies. The first earned a 6%^ profit, and the second earned a 12% profit. If Mrs. Pasternak made 2 times as much profit from the 12% investment as she did from the 6% investment, how much did she invest in the company that made 6%.\r<BR>\n" );
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document.write( "I know x is the amount she invested at 6% (.06x) and it should be .12(100,000-x) for the 12% investment , but what is throwing me is the 2 times as much profit. I tried it many ways and can't get the right answer. \r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105622 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=105622\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mrs. Pasternak invested $100,000 in two different healthcare companies. The first earned a 6%^ profit, and the second earned a 12% profit. If Mrs. Pasternak made 2 times as much profit from the 12% investment as she did from the 6% investment, how much did she invest in the company that made 6%. <BR>\n" );
document.write( "I know x is the amount she invested at 6% (.06x) and it should be .12(100,000-x) for the 12% investment , but what is throwing me is the 2 times as much profit.<BR>\n" );
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document.write( "Interest: 0.06x<BR>\n" );
document.write( "Interest: 0.12(100,000-x) = 12000-0.12x<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "12000-0.12x = 2(0.06x)<BR>\n" );
document.write( "0.24x = 12000<BR>\n" );
document.write( "x = $50,000 (amount invested at 6%)<BR>\n" );
document.write( "100,000-50000 = $50,000 (amount invested at 12%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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