document.write( "Question 111578: A SMALL CORPORATION BORROWED $800,000 TO EXPAND ITS LINE OF TOYS. SOME OF
\n" ); document.write( "THE MONEY WAS BORROWED AT 8%, SOME AT 9%, AND SOME AT 10%. HOW MUCH WAS
\n" ); document.write( "BORROWED AT EACH RATE IF THE ANNUAL INTEREST OWED WAS $67,000 AND THE
\n" ); document.write( "AMOUNT 8% WAS FIVE TIMES THE AMOUNT BORROWED AT 10%.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #81392 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, let's name the variables.
\n" ); document.write( "E=amount borrowed at 8%
\n" ); document.write( "N=amount borrowed at 9%
\n" ); document.write( "T=amount borrowed at 10%
\n" ); document.write( "Next, let's write down what you know.
\n" ); document.write( "1.Amount Borrowed : $\"E%2BN%2BT=800000\"$
\n" ); document.write( "2.Total Interest : $\"+0.08%2AE%2B0.09N%2B0.10%2AT=67000\"$
\n" ); document.write( "3.Relationship between E and T : $\"E=5T\"$
\n" ); document.write( "Let's substitute equation 3 into equations 1 and 2.
\n" ); document.write( "1. $\"E%2BN%2BT=800000\"$
\n" ); document.write( "1. $\"5T%2BN%2BT=800000\"$
\n" ); document.write( "1. $\"N%2B6T=800000\"$
\n" ); document.write( "2. $\"+0.08%2AE%2B0.09N%2B0.10%2AT=67000\"$
\n" ); document.write( "2. $\"+8E%2B9N%2B10T=6700000\"$
\n" ); document.write( "2. $\"+8%285T%29%2B9N%2B10T=6700000\"$
\n" ); document.write( "2. $\"+9N%2B50T=6700000\"$
\n" ); document.write( "Now let's use equation 1 and solve for N in terms of T.
\n" ); document.write( "1. $\"N%2B6T=800000\"$
\n" ); document.write( "1. $\"N=800000-6T\"$
\n" ); document.write( "We can substitute that result into 2 and solve for T.
\n" ); document.write( "2. $\"+9N%2B50T=6700000\"$
\n" ); document.write( " $\"+9%28800000-6T%29%2B50T=6700000\"$
\n" ); document.write( " $\"+7200000-54T%2B50T=6700000\"$
\n" ); document.write( " $\"+7200000-4T=6700000\"$
\n" ); document.write( " $\"+-4T=6700000-7200000\"$
\n" ); document.write( " $\"+-4T=-500000\"$
\n" ); document.write( " $\"+T=125000\"$
\n" ); document.write( "From 1,
\n" ); document.write( "1. $\"N=800000-6T\"$
\n" ); document.write( " $\"N=800000-6%28125000%29\"$
\n" ); document.write( " $\"N=50000\"$
\n" ); document.write( "and from 3,
\n" ); document.write( " $\"E=5T\"$
\n" ); document.write( " $\"E=5%28125000%29\"$
\n" ); document.write( " $\"E=625000\"$
\n" ); document.write( "Let's check the answers.
\n" ); document.write( " $\"E%2BN%2BT=800000\"$
\n" ); document.write( " $\"625000%2B50000%2B125000=800000\"$
\n" ); document.write( " $\"800000=800000\"$
\n" ); document.write( "True statement.
\n" ); document.write( " $\"+0.08%2AE%2B0.09N%2B0.10%2AT=67000\"$
\n" ); document.write( " $\"0.08%28625000%29%2B0.09%2850000%29%2B0.10%28125000%29=67000\"$
\n" ); document.write( " $\"50000%2B4500%2B12500=67000\"$
\n" ); document.write( " $\"67000=67000\"$
\n" ); document.write( "True statement.
\n" ); document.write( "Your answers led to true statement.
\n" ); document.write( "They're good answers.
\n" ); document.write( "$625,000 borrowed at 8%
\n" ); document.write( "$50,000 borrowed at 9%
\n" ); document.write( "$125,000 borrowed at 10% \n" ); document.write( "

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