document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145874>Question 1145874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person plans to invest three times as much in an account at 4​% interest as in an account at 14​% annual interest. How much should the person invest in each account to earn a total of $ 260 in one​ year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767142 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52795)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "Let x be the amount invested at 14% (in dollars, of course).\r\n" );
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document.write( "Then the amount invested at 4% is 3x (\"three times as much . . . \").\r\n" );
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document.write( "The total interest is the sum of partial interests\r\n" );
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document.write( "    0.04*(3x) + 0.14x = 260   dollars.\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    0.12x + 0.14x = 260\r\n" );
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document.write( "    0.26x         = 260\r\n" );
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document.write( "        x         = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F0.26 ALIGN=MIDDLE  ALT=\"260%2F0.26\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1000.\r\n" );
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document.write( "<U>ANSWER</U>.  $1000 invested at 14% and 3 * $1000 = $3000 invested at 4%.\r\n" );
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document.write( "<U>CHECK</U>.   0.14*1000 + 0.04*3000 = 260  dollars.   ! Precisely correct !\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "It is a standard and typical problem on investments.\r<BR>\n" );
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document.write( "If you need more details,  &nbsp;or if you want to see other similar problems solved by different methods, &nbsp;look into the lesson \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-investment.lesson>Using systems of equations to solve problems on investment</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "You will find there different approaches &nbsp;(using one equation or a system of two equations in two unknowns), &nbsp;as well as <BR>\n" );
document.write( "different methods of solution to the equations &nbsp;(Substitution, &nbsp;Elimination).\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic &nbsp;\"<U>Systems of two linear equations in two unknowns</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-I<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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document.write( "Is everything clear to you in my solution ?\r<BR>\n" );
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document.write( "If not, let me know by posting through the \"Thank you\" window (which is for students' comments).\r<BR>\n" );
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document.write( "In this case, please refer to the problem's ID number, which is  1145874.\r<BR>\n" );
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document.write( "If you do not refer to this number, I will not know to whom to answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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