document.write( "Question 1087816: a payphone is holding the maximum amount of 500 coins consisting of quarters, dimes and nickels. the number of quarters is twice the amount of dimes. if the value of all the coins is $88.00, how many nickels are in the payphone? \n" ); document.write( "

Algebra.Com's Answer #702108 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+5n+%2B+10d+%2B+25q+=+8800+\"$ ( in cents )
\n" ); document.write( "(2) $\"+q+=+2d+\"$
\n" ); document.write( "(3) $\"+n+%2B+d+%2B+q+=+500+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Multiply both sides of (3) by $\"+5+\"$ and
\n" ); document.write( "subtract (3) from (1)
\n" ); document.write( "(1) $\"+5n+%2B+10d+%2B+25q+=+8800+\"$
\n" ); document.write( "(3) $\"+-5n+-+5d+-+5q+=+2500+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( " $\"+5d+%2B+20q+=+6300+\"$
\n" ); document.write( " $\"+d+%2B+4q+=+1260+\"$
\n" ); document.write( "Plug (2) into this result
\n" ); document.write( " $\"+d+%2B+4%2A2d+=+1260+\"$
\n" ); document.write( " $\"+9d+=+1260+\"$
\n" ); document.write( " $\"+d+=+140+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+q+=+2d+\"$
\n" ); document.write( "(2) $\"+q+=+280+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+n+%2B+d+%2B+q+=+500+\"$
\n" ); document.write( "(3) $\"+n+%2B+140+%2B+280+=+500+\"$
\n" ); document.write( "(3) $\"+n+=+500+-+420+\"$
\n" ); document.write( "(3) $\"+n+=+80+\"$
\n" ); document.write( "There are 80 nickels
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+5n+%2B+10d+%2B+25q+=+8800+\"$
\n" ); document.write( "(1) $\"+5%2A80+%2B+10%2A140+%2B+25%2A280+=+8800+\"$
\n" ); document.write( "(1) $\"+400+%2B+1400+%2B+7000+=+8800+\"$
\n" ); document.write( "(1) $\"+8800+=+8800+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );