document.write( "Question 997599: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank? ***please write the equation to this and solve for how many coins*** \n" ); document.write( "

Algebra.Com's Answer #615622 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+n+%2B+d+%2B+q+=+36+\"$
\n" ); document.write( "(2) $\"+d+=+q+%2B+4+\"$
\n" ); document.write( "(3) $\"+n+=+2q+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "There are 3 unknowns and 3 equations,
\n" ); document.write( "so it is solvable
\n" ); document.write( "-------------------
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+2q+%2B+q+%2B+4+%2B+q+=+36+\"$
\n" ); document.write( "(1) $\"+4q+%2B+4+=+36+\"$
\n" ); document.write( "(1) $\"+4q+=+32+\"$
\n" ); document.write( "(1) $\"+q+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+q+%2B+4+\"$
\n" ); document.write( "(2) $\"+d+=+8+%2B+4+\"$
\n" ); document.write( "(2) $\"+d+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+n+=+2q+\"$
\n" ); document.write( "(3) $\"+n+=+2%2A8+\"$
\n" ); document.write( "(3) $\"+n+=+16+\"$
\n" ); document.write( "---------------
\n" ); document.write( "There are 16 nickels, 12 dimes, and 8 quarters
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+n+%2B+d+%2B+q+=+36+\"$
\n" ); document.write( "(1) $\"+16+%2B+12+%2B+8+=+36+\"$
\n" ); document.write( "(1) $\"+36=+36+\"$
\n" ); document.write( "OK \n" ); document.write( "

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