document.write( "Question 1150414: erin has a total of thirty coins worth $4.25. All of the coins are either nickels, dimes, or quarters. Of the number of quarters is the same as the number of dimes, how many of each kind of coin does she have? \n" ); document.write( "

Algebra.Com's Answer #771797 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) $\"+n+%2B+d+%2B+q+=+30+\"$
\n" ); document.write( "(2) $\"+5n+%2B+10d+%2B+25q+=+425+\"$ ( in cents )
\n" ); document.write( "(3) $\"+q+=+d+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+5n+%2B+10d+%2B+25d+=+425+\"$
\n" ); document.write( "(2) $\"+5n+%2B+35d+=+425+\"$
\n" ); document.write( "(2) $\"+n+%2B+7d+=+85+\"$
\n" ); document.write( "(1) $\"+-n+-2d+=+-30+\"$ ( subtract (1) from (2)
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+5d+=+55+\"$
\n" ); document.write( " $\"+d+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+q+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n+%2B+2d+=+30+\"$
\n" ); document.write( "(1) $\"+n+%2B+22+=+30+\"$
\n" ); document.write( "(1) $\"+n+=+8+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "8 nickels
\n" ); document.write( "11 dimes
\n" ); document.write( "11 quarters
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5n+%2B+10d+%2B+25q+=+425+\"$
\n" ); document.write( "(2) $\"+5%2A8+%2B+10%2A11+%2B+25%2A11+=+425+\"$
\n" ); document.write( "(2) $\"+40+%2B+110+%2B+275+=+425+\"$
\n" ); document.write( "(2) $\"+425+=+425+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );