document.write( "Question 839801: Heidi has $4.65 in nickles, dimes and quarters. She has 4 more quarters than dimes and five more nickles than quarters. How many coins of each type does she have??\r
\n" ); document.write( "\n" ); document.write( "Have been racking my brain out for hours on this! Your help on showing how to work this problem would be greatly appreciated!! \n" ); document.write( "

Algebra.Com's Answer #505851 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = number of nickels she has
\n" ); document.write( "Let $\"+d+\"$ = number of dimes she has
\n" ); document.write( "Let $\"+q+\"$ = number of quarters she has
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) $\"+q+=+d+%2B+4+\"$
\n" ); document.write( "(2) $\"+n+=+q+%2B+5+\"$
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+465+\"$ ( in cents )
\n" ); document.write( "--------------------------------------
\n" ); document.write( "This is 3 equations and 3 unknowns, so it's solvable
\n" ); document.write( "(1) $\"+d+=+q+-+4+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+5%2A%28+q%2B5+%29+%2B+10%2A%28+q-4+%29+%2B+25q+=+465+\"$
\n" ); document.write( "(3) $\"+5q+%2B+25+%2B+10q+-+40+%2B+25q+=+465+\"$
\n" ); document.write( "(3) $\"+40q+=+465+-+25+%2B+40+\"$
\n" ); document.write( "(3) $\"+40q+=+480+\"$
\n" ); document.write( "(3) $\"+q+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+q+-+4+\"$
\n" ); document.write( "(1) $\"+d+=+12+-+4+\"$
\n" ); document.write( "(1) $\"+d+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+n+=+q+%2B+5+\"$
\n" ); document.write( "(2) $\"+n+=+12+%2B+5+\"$
\n" ); document.write( "(2) $\"+n+=+17+\"$
\n" ); document.write( "17= number of nickels she has
\n" ); document.write( "8 = number of dimes she has
\n" ); document.write( "12 = number of quarters she has
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+465+\"$
\n" ); document.write( "(3) $\"+5%2A17+%2B+10%2A8+%2B+25%2A12+=+465+\"$
\n" ); document.write( "(3) $\"+85+%2B+80+%2B+300+=+465+\"$
\n" ); document.write( "(3) $\"+465+=+465+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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