document.write( "Question 1006162: Theodore has a pocket full of nickels and dimes worth $4.20. If there were 15 more dimes than nickels, how many coins were there in Theodore's pocket? \n" ); document.write( "

Algebra.Com's Answer #622330 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) $\"+d+=+n+%2B+15+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+420+\"$ ( in cents )
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+-n+%2B+d+=+15+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$ and
\n" ); document.write( "add the equations
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+-5n+%2B+5d+=+75+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+420+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+15d+=+495+\"$
\n" ); document.write( " $\"+d+=+33+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+n+%2B+15+\"$
\n" ); document.write( "(1) $\"+33+=+n+%2B+15+\"$
\n" ); document.write( "(1) $\"+n+=+18+\"$
\n" ); document.write( "---------------
\n" ); document.write( " $\"+33+%2B+18+=+51+\"$
\n" ); document.write( "there were 51 coins in his pocket
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5n+%2B+10d+=+420+\"$
\n" ); document.write( "(2) $\"+5%2A18+%2B+10%2A33+=+420+\"$
\n" ); document.write( "(2) $\"+90+%2B+330+=+420+\"$
\n" ); document.write( "(2) $\"+420+=+420+\"$
\n" ); document.write( "OK \n" ); document.write( "

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