document.write( "Question 1041165: Joey has $3.75 in his pocket. he has twice as many dimes as quarters and five more nickels than quarters. How many quarters does Joey have in his pocket \n" ); document.write( "

Algebra.Com's Answer #656113 by josmiceli(19441) $\"\"$ $\"About$

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There are 3 kinds of coins and 3 equations, so I
\n" ); document.write( "already know it can be solved
\n" ); document.write( "-------------------------
\n" ); document.write( "Let $\"+d+\"$ = number of dimes he has
\n" ); document.write( "Let $\"+q+\"$ = number of quarters he has
\n" ); document.write( "Let $\"+n+\"$ = number of nickels he has
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+10d+%2B+25q+%2B+5n+=+375+\"$ ( in cents )
\n" ); document.write( "(2) $\"+d+=+2q+\"$
\n" ); document.write( "(3) $\"+n+=+q+%2B+5+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+10%2A%282q%29+%2B+25q+%2B+5%2A%28+q%2B5+%29+=+375+\"$
\n" ); document.write( "(1) $\"+20q+%2B+25q+%2B+5q+%2B+25+=+375+\"$
\n" ); document.write( "(1) $\"+50q+=+375+-+25+\"$
\n" ); document.write( "(1) $\"+50q+=+350+\"$
\n" ); document.write( "(1) $\"+q+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+2q+\"$
\n" ); document.write( "(2) $\"+d+=+2%2A7+\"$
\n" ); document.write( "(2) $\"+d+=+14+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+n+=+q+%2B+5+\"$
\n" ); document.write( "(3) $\"+n+=+7+%2B+5+\"$
\n" ); document.write( "(3) $\"+n+=+12+\"$
\n" ); document.write( "------------------
\n" ); document.write( "He has 14 dimes, 7 quarters, and 12 nickels
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+10%2A14+%2B+25%2A7+%2B+5%2A12+=+375+\"$
\n" ); document.write( "(1) $\"+140+%2B+175+%2B+60+=+375+\"$
\n" ); document.write( "(1) $\"+375+=+375+\"$
\n" ); document.write( "OK \n" ); document.write( "

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