document.write( "Question 717986: a collection of nickels,dimes and quarters consists of 9 coins with a total value of 1.20 if the number of dimes is equal to the number of nickels,find the number of each type of coin. \n" ); document.write( "
Algebra.Com's Answer #440683 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a collection of nickels,dimes and quarters consists of 9 coins with a total value of 1.20 \n" ); document.write( "if the number of dimes is equal to the number of nickels, \n" ); document.write( "find the number of each type of coin. \n" ); document.write( ": \n" ); document.write( "Let c = no. nickels and no. of dimes \n" ); document.write( "Let q = no. quarters \n" ); document.write( ": \n" ); document.write( "Two equations \n" ); document.write( "2c + q = 9 \n" ); document.write( "q = (9-2c) \n" ); document.write( "and \n" ); document.write( ".05c + .10c + .25q = 1.20 \n" ); document.write( ".15c + .25q = 1.20 \n" ); document.write( "replace q with (9-2c) \n" ); document.write( ".15c + .25(9-2c) = 1.20 \n" ); document.write( ".15c + 2.25 - .50c = 1.20 \n" ); document.write( ".15c - .50c = 1.20 - 2.25 \n" ); document.write( "-.35c = -1.05 \n" ); document.write( "c = -1.05/-.35c \n" ); document.write( "c = + 3 nickels and 3 dimes \n" ); document.write( "; \n" ); document.write( "You can find the number of quarters; check the total amt with these values \n" ); document.write( " \n" ); document.write( " |