document.write( "Question 1158915: Rosa invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit. If the profit on the 10% bonds was $1,000 more than the profit on the 6% bonds, how much did Rosa invest in the 6% bonds? \n" ); document.write( "
Algebra.Com's Answer #781893 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Rosa invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit. \n" ); document.write( " If the profit on the 10% bonds was $1,000 more than the profit on the 6% bonds, how much did Rosa invest in the 6% bonds? \n" ); document.write( ": \n" ); document.write( "Let a = amt invested at 6% \n" ); document.write( "the total amt is 15000, therefore \n" ); document.write( "(15000-a) = amt invested at 10% \n" ); document.write( ": \n" ); document.write( "return at 10% - return at 6% = 1000 \n" ); document.write( ".10(15000-a) - .06a = 1000 \n" ); document.write( "1500 - .10a - .06a = 1000 \n" ); document.write( "-10a - .06a = 1000 - 1500 \n" ); document.write( "-.16a = -500 \n" ); document.write( "a = -500/-.16 \n" ); document.write( "a = $3125 invested at 6% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: 15000 - 3125 = $11,875 invested at 10% \n" ); document.write( ".10(11875) = 1187.50 \n" ); document.write( ".06(3125) = 187.50 \n" ); document.write( "-------------------------subtraction \n" ); document.write( ". .... . . . . . 1000 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |