document.write( "Question 875315: A newspaper carrier has $3.80 in change. He has six more quarters than dimes, but four times as many nickels as quarters. How many coins of each type does he have? \n" ); document.write( "

Algebra.Com's Answer #528117 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+q+=+d+%2B+6+\"$
\n" ); document.write( "(2) $\"+n+=+4q+\"$
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+380+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+d+=+q+-+6+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+5%2A%28+4q+%29+%2B+10%2A%28+q+-+6+%29+%2B+25q+=+380+\"$
\n" ); document.write( "(3) $\"+20q+%2B+10q+-+60+%2B+25q+=+380+\"$
\n" ); document.write( "(3) $\"+55q+=+440+\"$
\n" ); document.write( "(3) $\"+q+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+n+=+4q+\"$
\n" ); document.write( "(2) $\"+n+=+4%2A8+\"$
\n" ); document.write( "(2) $\"+n+=+32+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+q+-+6+\"$
\n" ); document.write( "(1) $\"+d+=+8+-+6+\"$
\n" ); document.write( "(1) $\"+d+=+2+\"$
\n" ); document.write( "He has 32 nickels, 2 dimes, and 8 quarters
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+5n+%2B+10d+%2B+25q+=+380+\"$
\n" ); document.write( "(3) $\"+5%2A32+%2B+10%2A2+%2B+25%2A8+=+380+\"$
\n" ); document.write( "(3) $\"+160+%2B+20+%2B+200+=+380+\"$
\n" ); document.write( "(3) $\"+380+=+380+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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