document.write( "Question 1188799: A bank lends two people a total of $b. The first person pays x% interest and the second person pays y% interest. The amount of interest received by the bank is the same for each loan. How much was loaned at x% \n" ); document.write( "

Algebra.Com's Answer #819972 by ikleyn(52926) $\"\"$ $\"About$

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\n" ); document.write( "A bank lends two people a total of $b. The first person pays x% interest and the second person pays y% interest.
\n" ); document.write( "The amount of interest received by the bank is the same for each loan. How much was loaned at x%
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document.write( "Let \"a\" be the amount loaned at x%, in dollars.\r\n" );
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document.write( "Then the amount loaned at y% was (b-a) dollars.\r\n" );
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document.write( "Write this equation as you read the problem\r\n" );
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document.write( "     = .    (1)\r\n" );
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document.write( "In this problem , b, x and y are given value (in symbolic form). The unknown is the value of \"a\".\r\n" );
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document.write( "From equation (1)\r\n" );
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document.write( "    ax = y*(b-a),\r\n" );
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document.write( "    ax = yb - ya\r\n" );
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document.write( "    ax + ay = yb\r\n" );
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document.write( "    a*(x+y) = yb\r\n" );
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document.write( "    a = .\r\n" );
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document.write( "ANSWER.  The amount loaned at  x%  was  .\r\n" );
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