document.write( "Question 204884: A collection of 36 coins consists of nickels, dimes, and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin are there? \n" ); document.write( "

Algebra.Com's Answer #154635 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A collection of 36 coins consists of nickels, dimes, and quarters.
\n" ); document.write( "n + d + q = 36
\n" ); document.write( ":
\n" ); document.write( " There are three fewer quarters than nickels
\n" ); document.write( "n = q + 3
\n" ); document.write( ";
\n" ); document.write( " and six more dimes than quarters.
\n" ); document.write( "d = q + 6
\n" ); document.write( ":
\n" ); document.write( "How many of each kind of coin are there?
\n" ); document.write( "Substitute for n and q in the 1st equation:
\n" ); document.write( "(q+3) + (q+6) + q = 36
\n" ); document.write( "3q + 9 = 36
\n" ); document.write( "3q = 36 - 9
\n" ); document.write( "q = $\"27%2F3\"$
\n" ); document.write( "q = 9 quarters
\n" ); document.write( ";
\n" ); document.write( "I'll let you find the number nickels and dimes \n" ); document.write( "

\n" );