document.write( "Question 1150735: Andrew invests $10100 in two different accounts. The first account paid 5 %, the second account paid 13 % in interest. At the end of the first year he had earned $881 in interest. How much was in each account? \n" ); document.write( "

Algebra.Com's Answer #772149 by ikleyn(52839) $\"\"$ $\"About$

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document.write( "Let x be the loaned amount at 13% interest rate.\r\n" );
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document.write( "Then the amount loaned at 5% rate is  (10100-x) dollars.\r\n" );
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document.write( "The setup equation is\r\n" );
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document.write( "    0.13x + 0.05*(10100-x) = 881   dollars (the total interest amount).\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    x =  = 4700.\r\n" );
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document.write( "ANSWER.  $4700 was loaned at 13% and the rest, 10100-4700 = 5400 dollars, was loaned at 5%.\r\n" );
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document.write( "CHECK.   0.13*4700 + 0.05*5400 = 881 dollars.   ! 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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