document.write( "Question 911237: Please help me solve this problem. A student has 2 loans totalling $12,000. One of the loans is at 6% and the other is at 9%. If the total interest for both loans for a year is $855. What is the amount of each loan? \n" ); document.write( "

Algebra.Com's Answer #552937 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $12000
\n" ); document.write( "x+y=12000,
\n" ); document.write( "Total yearly interest for the two accounts is: $855
\n" ); document.write( "0.06*x+0.09*y=855
\n" ); document.write( "x=12000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.06*(12000-y)+0.09*y=855
\n" ); document.write( "Multiply out
\n" ); document.write( "720-0.06*y+0.09*y=855
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.03*y=135
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$4500.00 at 9%
\n" ); document.write( "x=12000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$7500.00 at 6%
\n" ); document.write( "Check
\n" ); document.write( "0.06*7500+0.09*4500=855
\n" ); document.write( "450+405=855
\n" ); document.write( "855=855
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "code int1
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