document.write( "Question 847398: A jar containing only dimes and quarters has a total of 56 coins. The value of all the coins in the jar is $9.50. How many quarters are in the jar? How do you solve this? \n" ); document.write( "

Algebra.Com's Answer #510392 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = number of dimes
\n" ); document.write( "Let $\"+q+\"$ = number of quarters
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+d+%2B+q+=+56+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+950+\"$ ( in cents )
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+10+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+950+\"$
\n" ); document.write( "(1) $\"+-10d+-+10q+=+-560+\"$
\n" ); document.write( " $\"+15q+=+390+\"$
\n" ); document.write( " $\"+q+=+26+\"$
\n" ); document.write( "There are 26 quarters
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+%2B+26+=+56+\"$
\n" ); document.write( "(1) $\"+d+=+30+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+10%2A30+%2B+25%2A26+=+950+\"$
\n" ); document.write( "(2) $\"+300+%2B+650+=+950+\"$
\n" ); document.write( "(2) $\"+950+=+950+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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