document.write( "Question 536826: A newsboy collected $68.50 on his paper route one week. The collection consisted of nickels,dimes and quarters. If he had 70 more nickels than quarters and 20 more dimes than nickels,how many of each kind of coin did he have? \n" ); document.write( "

Algebra.Com's Answer #352599 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "Let $\"+q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+5n+%2B+10d+%2B+25q+=+6850+\"$ ( in cents )
\n" ); document.write( "(2) $\"+n+=+q+%2B+70+\"$
\n" ); document.write( "(3) $\"+d+=+n+%2B+20+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(2) $\"+q+=+n+-+70+\"$
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+5n+%2B+10%2A%28+n+%2B+20+%29+%2B+25%2A%28+n+-+70+%29+=+6850+\"$
\n" ); document.write( "(1) $\"+5n+%2B+10n+%2B+200+%2B+25n+-+1750+=+6850+\"$
\n" ); document.write( "(1) $\"+40n+%2B+200+-+1750+=+6850+\"$
\n" ); document.write( "(1) $\"+40n+=+8400+\"$
\n" ); document.write( "(1) $\"+n+=+210+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(3) $\"+d+=+n+%2B+20+\"$
\n" ); document.write( "(3) $\"+d+=+230+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+q+=+n+-+70+\"$
\n" ); document.write( "(2) $\"+q+=+210+-+70+\"$
\n" ); document.write( "(2) $\"+q+=+140+\"$
\n" ); document.write( "He had 210 nickels, 230 dimes, and 140 quarters
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+5%2A210+%2B+10%2A230+%2B+25%2A140+=+6850+\"$
\n" ); document.write( "(1) $\"+1050+%2B+2300+%2B+3500+=+6850+\"$
\n" ); document.write( "(1) $\"+6850+=+6850+\"$
\n" ); document.write( "OK \n" ); document.write( "

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