document.write( "Question 101731: hello and thank you for the help.I put were i got before i realized the equations were not working at least i think thats the problem. thank you again.\r
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document.write( "Dave borrowed $25000 in total from two banks. The first bank charged him 6% per annum while the second charged 9% per annum. At the end of the first year he paid equal amounts of interest to each bank. Determine the amount borrowed at each rate?
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document.write( "let x=money borrowed at 6%
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document.write( "interest at 6% is 6%/100=0.06x
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document.write( "let y=money borrowed at 9%
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document.write( "interest at 9% is 9%/100=0.09y\r
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document.write( "x+y=25000
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document.write( "(0.06x=0.09y)100\r
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document.write( "x+y=25000
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document.write( "6x=9y
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document.write( "9y+y=25000
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document.write( "10y=25000
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document.write( "y=2500 \n" );
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Algebra.Com's Answer #73971 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Dave borrowed $25000 in total from two banks. The first bank charged him 6% per annum while the second charged 9% per annum. At the end of the first year he paid equal amounts of interest to each bank. Determine the amount borrowed at each rate? \n" ); document.write( "--------------- \n" ); document.write( "Let amt borrowed at 6% be \"x\"; Interest is 0.06x dollars \n" ); document.write( "-------------- \n" ); document.write( "Amt borrowed at 9% is \"25000-x\"; interest is 0.09(25000-x) \n" ); document.write( "--------------- \n" ); document.write( "EQUATION: \n" ); document.write( "Interest = Interest \n" ); document.write( "0.06x = 0.09(25000-x) \n" ); document.write( "6x = 9(25000-x) \n" ); document.write( "6x = 225000-9x \n" ); document.write( "15x = 225000 \n" ); document.write( "x = $15000 (amt borrowed at 6%) \n" ); document.write( "25000=15000=$10000 (amt borrowed at 9%) \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |