document.write( "Question 1150882: linda invested 12,000 for one year, part at 12 percent annual interest and the rest at 6 percent annual interest. how much did she invest at 6 percent to get 1,200 interest in a year \n" ); document.write( "

Algebra.Com's Answer #772437 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let x be the amount Linda invested at 6%.\r\n" );
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document.write( "Then the amount she invested at 12% is (12000-x).\r\n" );
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document.write( "The annual interest of the 6% investment is 0.06x.\r\n" );
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document.write( "The annual interest of the 6% investment is 0.12(12000-x).\r\n" );
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document.write( "The total interest is the sum of partial interests, which gives you this basic setup equation\r\n" );
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document.write( "    0.06x + 0.12*(12000-x) = 1200.\r\n" );
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document.write( "From the equation,\r\n" );
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document.write( "    x =  = 4000.\r\n" );
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document.write( "ANSWER.  The amount invested at 6% is 4000.\r\n" );
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document.write( "CHECK.   0.06*4000 + 0.12*(12000-4000) = 1200.    ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r
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\n" ); document.write( "\n" ); document.write( "If you need more details, or if you want to see other similar problems solved by different methods, look into the lesson \r
\n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as
\n" ); document.write( "different methods of solution to the equations (Substitution, Elimination).\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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