document.write( "Question 405938: Ben invested $800, part at 9% per annum and the rest at 12% per annum. After one year the total interest earned was $79.50. How much did he invest?\r
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document.write( "we are solving them by elimination (gr 11)
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document.write( "i dont know how to do this one at all. \n" );
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Algebra.Com's Answer #286606 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Ben invested $800, part at 9% per annum and the rest at 12% per annum. After one year the total interest earned was $79.50. How much did he invest?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9% per annum ------ x \n" ); document.write( "12% per annum--------y\r \n" ); document.write( "\n" ); document.write( "x+y =800....1\r \n" ); document.write( "\n" ); document.write( "0.09x+0.12y=$79.50. \n" ); document.write( "multiply by 100 \n" ); document.write( "9x+12y=7950............(2)\r \n" ); document.write( "\n" ); document.write( "multiply (1)--9 \n" ); document.write( "-9x-9y=-7200 \n" ); document.write( "add to (2) \n" ); document.write( "+3y=750 \n" ); document.write( "/3 \n" ); document.write( "y = $250 ===> at 12% \n" ); document.write( "Balance $550 ay 9% \n" ); document.write( " \n" ); document.write( " |