document.write( "Question 410760: I have a jar with 250 coins both domes and quarters totaling 39.25 how many of each coin is there \n" ); document.write( "

Algebra.Com's Answer #288784 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"d\"$ = number of dimes
\n" ); document.write( " $\"q\"$ = number of quarters
\n" ); document.write( "(1) $\"d+%2B+q+=+250\"$
\n" ); document.write( "(2) $\"10d+%2B+25q+=+3925\"$ (in cents)
\n" ); document.write( "Multiply both sides of (1) by $\"10\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"10d+%2B+25q+=+3925\"$
\n" ); document.write( "(1) $\"-10d+-+10q+=+-2500\"$
\n" ); document.write( " $\"15q+=+1425\"$
\n" ); document.write( " $\"q+=+95\"$
\n" ); document.write( " $\"d+=+250+-+95\"$
\n" ); document.write( " $\"d+=+155\"$
\n" ); document.write( "There are 155 dimes and 95 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"10d+%2B+25q+=+3925\"$
\n" ); document.write( "(2) $\"10%2A155+%2B+25%2A95+=+3925\"$
\n" ); document.write( " $\"1550+%2B+2375+=+3925\"$
\n" ); document.write( " $\"3925+=+3925\"$
\n" ); document.write( "OK \n" ); document.write( "

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