document.write( "Question 524061: How many dimes & quarters are in $19.75 if you have 100 coins? \n" ); document.write( "

Algebra.Com's Answer #347531 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+q+%2B+d+=+100+\"$
\n" ); document.write( "(2) $\"+25q+%2B+10d+=+1975+\"$ ( in cents )
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"10\"$ ,
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+25q+%2B+10d+=+1975+\"$
\n" ); document.write( "(1) $\"+-10q+-+10d+=+-1000+\"$
\n" ); document.write( " $\"+15q+=+975+\"$
\n" ); document.write( " $\"+q+=+65+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+q+%2B+d+=+100+\"$
\n" ); document.write( "(1) $\"+65+%2B+d+=+100+\"$
\n" ); document.write( "(1) $\"+d+=+100+-+65+\"$
\n" ); document.write( "(1) $\"+d+=+35+\"$
\n" ); document.write( "There are 35 dimes and 65 quarters
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+25q+%2B+10d+=+1975+\"$
\n" ); document.write( "(2) $\"+25%2A65+%2B+10%2A35+=+1975+\"$
\n" ); document.write( "(2) $\"+1625+%2B+350++=+1975+\"$
\n" ); document.write( "(2) $\"+1975+=+1975+\"$
\n" ); document.write( "OK \n" ); document.write( "

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