document.write( "Question 1142255: A bank loaned out $19000, part of it at the rate of 6% per year and then rest at 14% per year. If the interest received in one year totaled $2000, how much was loaned at 6%? How much of the $1900 did the bank loan out at 6%? \n" ); document.write( "

Algebra.Com's Answer #762951 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A bank loaned out $19000, part of it at the rate of 6% per year and then rest at 14% per year.
\n" ); document.write( "If the interest received in one year totaled $2000, how much was loaned at 6%? How much of the $\"highlight%28cross%28%241900%29%29\"$ $19000
\n" ); document.write( "did the bank loan out at $\"highlight%28cross%286%29%29\"$ 14% ?
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document.write( "Let x = amount loaned at 14%, in dollars.\r\n" );
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document.write( "Then the amount loaned at 6% is the rest (19000-x) dollars.\r\n" );
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document.write( "The interest from the 14% loan is 0.14*x  dollars.\r\n" );
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document.write( "The interest from the 6%   loan is 0.06*(19000-x)   dollars.\r\n" );
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document.write( "Your equation is\r\n" );
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document.write( "    interest + interest      = total interest,   or\r\n" );
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document.write( "    0.14*x  + 0.06*(19000-x) = 2000   dollars.\r\n" );
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document.write( "From the equation, express x and calculate the answer\r\n" );
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document.write( "    x =  = 10750.\r\n" );
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document.write( "Answer.  The amount loaned щге at 14% is $10750;  the rest  $19000-$10750 = $8250 is the amount loaned щге at 6%.\r\n" );
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document.write( "Check.   0.14*10750 + 0.06*8250 = 2000 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\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
\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( "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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