document.write( "Question 533991: Ricardo Guiterrez has a box of coins that he uses to play poker with friends. The box currently contains 38 coins, consisting of quarters, dimes and pennies. The number of pennies is equal to the number of dimes and the total value is $4.04. How many of each denomination of coin does Ricardo have? \n" ); document.write( "
Algebra.Com's Answer #351219 by josmiceli(19441)\"\" \"About 
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Let \"p\" = number of pennies
\n" ); document.write( "Let \"d\" = number of dimes
\n" ); document.write( "Let \"q\" = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+p+%2B+d+%2B+q+=+38+\"
\n" ); document.write( "(2) \"+p+=+d+\"
\n" ); document.write( "(3) \"+p+%2B+10d+%2B+25q+=+404+\" ( in cents )
\n" ); document.write( "----------------------
\n" ); document.write( "First substitute (2) into (1)
\n" ); document.write( "(1) \"+d+%2B+d+%2B+q+=+38+\"
\n" ); document.write( "(1) \"+q+=+38+-+2d+\"
\n" ); document.write( "Now substitute (1) and (2) into (3)
\n" ); document.write( "(3) \"+d+%2B+10d+%2B+25%2A%28+38+-+2d+%29+=+404+\"
\n" ); document.write( "(3) \"+11d+%2B+950+-+50d+=+404+\"
\n" ); document.write( "(3) \"+-39d+=+-950+%2B+404+\"
\n" ); document.write( "(3) \"+-39d+=+-546+\"
\n" ); document.write( "(3) \"+d+=+14+\"
\n" ); document.write( "and, since
\n" ); document.write( "(2) \"+p+=+d+\"
\n" ); document.write( "(2) \"+p+=+14+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+q+=+38+-+2d+\"
\n" ); document.write( "(1) \"+q+=+38+-+28+\"
\n" ); document.write( "(1) \"+q+=+10+\"
\n" ); document.write( "Ricardo has 14 pennies, 14 dimes, and 10 quarters
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+p+%2B+10d+%2B+25q+=+404+\"
\n" ); document.write( "(3) \"+14+%2B+10%2A14+%2B+25%2A10+=+404+\"
\n" ); document.write( "(3) \"+14+%2B+140+%2B+250+=+404+\"
\n" ); document.write( "(3) \"+404+=+404+\"
\n" ); document.write( "OK \n" ); document.write( "
\n" );