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)\"\" \"About 
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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?
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\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
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\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)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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