document.write( "Question 1183674: Solve this application problem using a system of equations: $4400 is invested, part of it at 20% and part of it at 4%. For a certain year, the total yield is $600.00. How much was invested at 20%? How much was invested at 4%? \r
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Algebra.Com's Answer #814092 by ikleyn(52878) $\"\"$ $\"About$

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\n" ); document.write( "Solve this application problem using a system of equations: $4400 is invested, part of it at 20% and part of it at 4%.
\n" ); document.write( "For a certain year, the total yield is $600.00. How much was invested at 20%? How much was invested at 4%?
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document.write( "Let x be the amount invested at 20%.\r\n" );
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document.write( "Then the amount invested at 4% is the rest, or  (4400-x)  dollars.\r\n" );
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document.write( "Next you write equation for the total interest \r\n" );
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document.write( "    0.2x + 0.04*(4400-x) = 600  dollars.\r\n" );
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document.write( "From this equation, you find x\r\n" );
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document.write( "    x =  = 2650  dollars.\r\n" );
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document.write( "ANSWER.  $2650 was invested at 20%, and the rest  (4400-2650) = 1750  dollars was invested at 4%.\r\n" );
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document.write( "CHECK.   0.2*2650 + 0.04*1750 = 600 dollars for the total interest.    ! 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
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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( "Save the link to this online textbook together with its description\r
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\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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