document.write( "Question 657388: P has pennies, dimes, and quarters. They add up to a total of $5.59. There are 43 coins and the number of quarters plus 9 equals the number of pennies and dimes. How many quarters? pennies? and dimes does P have? \n" ); document.write( "

Algebra.Com's Answer #409848 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+p+\"$ = number of pennies
\n" ); document.write( " $\"+d+\"$ = number of dimes
\n" ); document.write( " $\"+q+\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+p+%2B+d+%2B+q+=+43+\"$
\n" ); document.write( "(2) $\"+p+%2B+10d+%2B+25q+=+559+\"$ ( in cents )
\n" ); document.write( "(3) $\"+q+%2B+9+=+p+%2B+d+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Substitute (3) into (1)
\n" ); document.write( "(1) $\"+q+%2B+9+%2B+q+=+43+\"$
\n" ); document.write( "(1) $\"+2q+=+34+\"$
\n" ); document.write( "(1) $\"+q+=+17+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(3) $\"+17+%2B+9+=+p+%2B+d+\"$
\n" ); document.write( "(3) $\"+p+=+26+-+d+\"$
\n" ); document.write( "Substitute this back into (2)
\n" ); document.write( "-----------------
\n" ); document.write( "(2) $\"+26+-+d+%2B+10d+%2B+25%2A17+=+559+\"$
\n" ); document.write( "(2) $\"+26+%2B+9d+%2B+425+=+559+\"$
\n" ); document.write( "(2) $\"+9d+=+559+-+425+-+26+\"$
\n" ); document.write( "(2) $\"+9d+=+108+\"$
\n" ); document.write( "(2) $\"+d+=+12+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+p+%2B+d+%2B+q+=+43+\"$
\n" ); document.write( "(1) $\"+p+%2B+12+%2B+17+=+43+\"$
\n" ); document.write( "(1) $\"+p+=+43+-+12+-+17+\"$
\n" ); document.write( "(1) $\"+p+=+14+\"$
\n" ); document.write( "-------------
\n" ); document.write( "P has 14 pennies
\n" ); document.write( "12 dimes
\n" ); document.write( "17 quarters
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+p+%2B+10d+%2B+25q+=+559+\"$
\n" ); document.write( "(2) $\"+14+%2B+10%2A12+%2B+25%2A17+=+559+\"$
\n" ); document.write( "(2) $\"+14+%2B+120+%2B+425+=+559+\"$
\n" ); document.write( "(2) $\"+559+=+559+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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