document.write( "Question 1109355: maggie won 10,000 in a baking contest and decided to invest her winning in stocks and bonds, where stocks yielded 8% and yielded 6% annual interest. if the total interest she earned at the end of one year was $720, how much did she invest in each?\r
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document.write( "thanks! \n" );
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Algebra.Com's Answer #724345 by greenestamps(13215) You can put this solution on YOUR website! \n" ); document.write( "The algebraic solution provided by the other tutor is of course fine; it is the standard method for solving \"mixture\" problems. \n" ); document.write( "But try this much faster method and see if you like it.... \n" ); document.write( "(1) The $720 interest on the $10,000 investment represents a return of 7.2%. \n" ); document.write( "(2) 7.2% is (1.2/2) = 3/5 of the way from 6% to 8%. \n" ); document.write( "(3) So 3/5 of the money was invested at 8%. \n" ); document.write( "Answer: 3/5 of $10,000, or $6000, at 8%; the rest, $4000, at 6%. \n" ); document.write( " |