document.write( "Question 1115136: George invested $19,000 for one year, part at 11% and part at 12%. If the total amount of interest he earned was $2,200, how much money did he invest at each rate?
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Algebra.Com's Answer #730058 by ikleyn(52814) $\"\"$ $\"About$

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document.write( "interest + interest       = total interest\r\n" );
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document.write( "0.11x    + 0.12*(19000-x) = 2200\r\n" );
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document.write( "0.11x + 0.12*19000 - 0.19x = 2200\r\n" );
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document.write( "-0.01x = 2200-0.12*19000 = -80  \r\n" );
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document.write( "x =  = 8000.\r\n" );
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document.write( "Answer.  $8000 was invested at 11%;  the rest, 19000-8000 = 11000 dollars was invested at 12%.\r\n" );
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document.write( "Check.   0.11*8000 + 0.12*11000 = 22000.   ! Correct !\r\n" );
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\n" ); document.write( "It is a typical and standard problem on investment.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment, 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
\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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