document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119323>Question 1119323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a women has a total of $12,00 to invest. she invested part of the money in an account that pays 9% per year and the rest in an account that pays 10% per year. if the interest earned in the first year is $1160, how much did she invest in each account ? she invested $? at 9% and $? at 10% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734817 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</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=734817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let me start from editing your post, replacing $12,00 by $12,000,  since it is obvious typo.\r<BR>\n" );
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document.write( "Now the corrected formulation is THIS:\r<BR>\n" );
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document.write( "    a women has a total of $12,000 to invest. she invested part of the money in an account that pays 9% per year \r\n" );
document.write( "    and the rest in an account that pays 10% per year. if the interest earned in the first year is $1160, \r\n" );
document.write( "    how much did she invest in each account ? she invested $? at 9% and $? at 10%\r\n" );
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document.write( "<U>Solution</U>\r<BR>\n" );
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document.write( "Let x = the amount invested at 10%.\r\n" );
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document.write( "Then the amount invested at 9% is (12000-x) dollars.\r\n" );
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document.write( "The total interest is the sum of partial interests, i.e.\r\n" );
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document.write( "    0.1x + 0.09*(12000-x) = 1160.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "    0.1x + 0.09*12000 - 0.09x = 1160,\r\n" );
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document.write( "    0.01x = 1160 - 0.09*12000 = 80\r\n" );
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document.write( "    x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F0.01 ALIGN=MIDDLE  ALT=\"80%2F0.01\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8000.\r\n" );
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document.write( "<U>Answer</U>.  $8000 was invested at 10 and the rest (12000-$8000) = $4000 was invested at 9%.\r\n" );
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document.write( "<U>Check</U>.  0.1*8000 + 0.09*4000 = 1160 dollars.   ! Correct !\r\n" );
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document.write( "-----------------<BR>\n" );
document.write( "It is a typical and standard problem on investment.\r<BR>\n" );
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document.write( "To see many other similar solved problems on investment, &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( " </SPAN>\n" );
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