document.write( "Question 1125428: You wish to invest $1600 over one year in two accounts paying 5% and 6% annually. How much should you invest in each to earn $89? \n" ); document.write( "

Algebra.Com's Answer #741751 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x be the amount invested at 6%, in dollars.\r\n" );
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document.write( "Then the amount invested at 5% is the rest (1600-x) dollars.\r\n" );
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document.write( "Your basic equation is THIS:\r\n" );
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document.write( "    interest + interest      = total interest,    or\r\n" );
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document.write( "    0.06*x   + 0.05*(1600-x) = 89.\r\n" );
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document.write( "    0.06x + 0.05*1600 - 0.05x = 89\r\n" );
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document.write( "    0.01x = 89 - 0.05*1600  ====>  x =  = 900.\r\n" );
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document.write( "Answer.  $900 should be invested at 6%  and the rest  1600 - 900 = 700 dollars should be invested at 5%.\r\n" );
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document.write( "Check.   0.05*700 + 0.06*900 =  89 dollars.   ! Correct !\r\n" );
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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
\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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