document.write( "Question 556071: In one evening, a pizza parlor collected 700 coins, for a total of $145. If the coins are all dimes and quarters, how many of each kind are there? \n" ); document.write( "

Algebra.Com's Answer #362031 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = number of dimes
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+%2B+q+=+700+\"$
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+14500+\"$ ( 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) $\"+10d+%2B+25q+=+14500+\"$
\n" ); document.write( "(1) $\"+-10d+-+10q+=+-7000+\"$
\n" ); document.write( " $\"+15q+=+7500+\"$
\n" ); document.write( " $\"+q+=+500+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+d+%2B+q+=+700+\"$
\n" ); document.write( "(1) $\"+d+%2B+500+=+700+\"$
\n" ); document.write( "(1) $\"+d+=+200+\"$
\n" ); document.write( "There are 200 dimes and 500 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+10d+%2B+25q+=+14500+\"$
\n" ); document.write( "(2) $\"+10%2A200+%2B+25%2A500+=+14500+\"$
\n" ); document.write( "(2) $\"+2000+%2B+12500+=+14500+\"$
\n" ); document.write( "(2) $\"+14500+=+14500+\"$
\n" ); document.write( "OK \n" ); document.write( "

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