document.write( "Question 660896: Katie has a collection of nickels, dimes and quarters with a total value of $6.10 . There are 5 more dimes than nickels and 8 more quarters than nickels, how many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #411401 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Katie has a collection of nickels, dimes and quarters with a total value of $6.10 . There are 5 more dimes than nickels and 8 more quarters than nickels, how many of each coin does she have? \n" ); document.write( "------- \n" ); document.write( "Value equation: 5n + 10d + 25q = 610 \n" ); document.write( "Quantity equation: d = n + 5 \n" ); document.write( "Quantity equation: q = n + 8 \n" ); document.write( "---------------------- \n" ); document.write( "Substitute for d and q and solve for \"n\": \n" ); document.write( "5n + 10(n+5) + 25(n+8) = 610 \n" ); document.write( "40n + 250 = 610 \n" ); document.write( "40n = 360 \n" ); document.write( "n = 9 (# of nickels) \n" ); document.write( "d = n+5 = 14 (# of dimes) \n" ); document.write( "q = n+8 = 17 (# of quarters) \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |