document.write( "Question 508726: paul has twice as many dimes as pennies and 3 times as many nickels as pennies. in all he has 1.80? how many coins of each type does he have? \n" ); document.write( "

Algebra.Com's Answer #341091 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+p+\"$ = number of pennies
\n" ); document.write( "Let $\"+n+\"$ = number of nickels
\n" ); document.write( "Let $\"+d+\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+=+2p+\"$
\n" ); document.write( "(2) $\"+n+=+3p+\"$
\n" ); document.write( "(3) $\"+1%2Ap+%2B+5n+%2B+10d+=+180+\"$ ( in pennies )
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+p+%2B+5%2A3p+%2B+10%2A2p+=+180+\"$
\n" ); document.write( "(3) $\"+p+%2B+15p+%2B+20p+=+180+\"$
\n" ); document.write( "(3) $\"+36p+=+180+\"$
\n" ); document.write( "(3) $\"+p+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+2p+\"$
\n" ); document.write( "(1) $\"+d+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+n+=+3p+\"$
\n" ); document.write( "(2) $\"+n+=+15+\"$
\n" ); document.write( "There are 5 pennies, 15 nickels, and 10 dimes
\n" ); document.write( "check answer:
\n" ); document.write( "(3) $\"+1%2Ap+%2B+5n+%2B+10d+=+180+\"$
\n" ); document.write( "(3) $\"+5+%2B+5%2A15+%2B+10%2A10+=+180+\"$
\n" ); document.write( "(3) $\"+5+%2B+75+%2B+100+=+180+\"$
\n" ); document.write( "(3) $\"+180+=+180+\"$ \n" ); document.write( "

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