document.write( "Question 197122: Sarah has two student loans totaling $12,000. One of loans was @6% simple interest and the other at 9%. After one year, Sarah owed over $855 in interest. What was the amount of each loan?\r
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document.write( "Thanks a bunch! \n" );
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Algebra.Com's Answer #147780 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sarah has two student loans totaling $12,000. One of loans was @6% simple interest and the other at 9%. After one year, Sarah owed over $855 in interest. What was the amount of each loan? \n" ); document.write( "--------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "interest + interest = 855 \n" ); document.write( "0.06x + 0.09(12000 - x) = 855 \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "6x + 9(12000 - x) = 85500 \n" ); document.write( "-3x + 108000 = 85500 \n" ); document.write( "-3x = -22500 \n" ); document.write( "x = $7,500 (amt. invested at 6%) \n" ); document.write( "12000 = 7500 = $4,500 (amt. invested at 9%) \n" ); document.write( "========================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |