document.write( "Question 159258This question is from textbook Algebra And Trigonometry
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document.write( ": Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five more nickels than dimes, how many coins of each type does she have? \n" );
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Algebra.Com's Answer #117404 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five more nickels than dimes, how many coins of each type does she have? \n" ); document.write( ". \n" ); document.write( "Let q = number of quarters \n" ); document.write( "then from \"she has twice as many dimes as quarters\" \n" ); document.write( "2q = number of dimes \n" ); document.write( "and from \"five more nickels than dimes\" \n" ); document.write( "2q+5 = number of nickels \n" ); document.write( ". \n" ); document.write( "Since she has a total of $3.00: \n" ); document.write( ".25q + .10(2q) + .05(2q+5) = 3.00 \n" ); document.write( ".25q + .20q + .10q + .25 = 3.00 \n" ); document.write( ".55q + .25 = 3.00 \n" ); document.write( ".55q = 2.75 \n" ); document.write( "q = 2.75/.55 \n" ); document.write( "q = 5 (number of quarters) \n" ); document.write( ". \n" ); document.write( "number of dimes: \n" ); document.write( "2q = 2(5) = 10 (number of dimes) \n" ); document.write( ". \n" ); document.write( "number of nickels: \n" ); document.write( "2q+5 = 2(5)+5 = 10 + 5 = 15 (number of nickels) \n" ); document.write( " \n" ); document.write( " |