document.write( "Question 747034: Diane has $1.20 in dimes and nickels. She has a total of 15 coins. How many of each kind does she have? \r
\n" ); document.write( "\n" ); document.write( "Smallest Value
\n" ); document.write( "Highest Value \n" ); document.write( "

Algebra.Com's Answer #454657 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "-----------
\n" ); document.write( "(1) $\"+n+%2B+d+=+15+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+120+\"$ ( in cents )
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides 0f (1) by $\"+10+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+10n+%2B+10d+=+150+\"$
\n" ); document.write( "(2) $\"+-5n+-+10d+=+-120+\"$
\n" ); document.write( " $\"+5n+=+30+\"$
\n" ); document.write( " $\"+n+=+6+\"$
\n" ); document.write( "-----------
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+d+=+15+\"$
\n" ); document.write( "(1) $\"+6+%2B+d+=+15+\"$
\n" ); document.write( " $\"+d+=+9+\"$
\n" ); document.write( "She has 6 nickels and 9 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+120+\"$
\n" ); document.write( "(2) $\"+5%2A6+%2B+10%2A9+=+120+\"$
\n" ); document.write( "(2) $\"+30+%2B+90+=+120+\"$
\n" ); document.write( "(2) $\"+120+=+120+\"$
\n" ); document.write( "OK \n" ); document.write( "

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