document.write( "Question 703362: Craig has 38 quarters and dimes. If he had twice as many quarter, he would have $11. How many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #433465 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+q+\"$ = number of quarters
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+q+%2B+d+=+38+\"$
\n" ); document.write( "(2) $\"+25%2A%282q%29+%2B+10d+=+1100+\"$ ( in cents )
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) $\"+50q+%2B+10d+=+1100+\"$
\n" ); document.write( "(2) $\"+5q+%2B+d+=+110+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+5q+%2B+d+=+110+\"$
\n" ); document.write( "(1) $\"+-q+-+d+=+-38+\"$
\n" ); document.write( " $\"+4q+=+72+\"$
\n" ); document.write( " $\"+q+=+18+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+q+%2B+d+=+38+\"$
\n" ); document.write( "(1) $\"+18+%2B+d+=+38+\"$
\n" ); document.write( "(1) $\"+d+=+20+\"$
\n" ); document.write( "He has 18 quarters and 20 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+50q+%2B+10d+=+1100+\"$
\n" ); document.write( "(2) $\"+50%2A18+%2B+10%2A20+=+1100+\"$
\n" ); document.write( "(2) $\"+900+%2B+200+=+1100+\"$
\n" ); document.write( "(2) $\"+1100+=+1100+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );