document.write( "Question 1157579: Roscoe and Conrad were counting money in their piggy banks. They only had quarters and dimes. They had a total of 58 coins. The value of the coins was $9.85. Find the number of quarters and dimes the boys had.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #780448 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the number of dimes they had
\n" ); document.write( "Let $\"+q+\"$ = the number of quarters they had
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+d+%2B+q+=+58+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+985+\"$ ( in cents )
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+197+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+197+\"$
\n" ); document.write( "(1) $\"+-2d+-+2q+=+-116+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+3q+=+81+\"$
\n" ); document.write( " $\"+q+=+27+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+%2B+q+=+58+\"$
\n" ); document.write( "(1) $\"+d+%2B+27+=+58+\"$
\n" ); document.write( "(1) $\"+d+=+31+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "There are 31 dimes and 27 quarters
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2d+%2B+5q+=+197+\"$
\n" ); document.write( "(2) $\"+2%2A31+%2B+5%2A27+=+197+\"$
\n" ); document.write( "(2) $\"+62+%2B+135+=+197+\"$
\n" ); document.write( "(2) $\"+197+=+197+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );