document.write( "Question 38305: A vending machine has $41.25 in it. There are 225 coins total and the machine only accepts nickels, dimes , and quarters. There are twice as many dimes as nickels. How many of each coin are in the machine? \n" ); document.write( "
Algebra.Com's Answer #23786 by Nate(3500)\"\" \"About 
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A vending machine has $41.25 in it. There are 225 coins total and the machine only accepts nickels, dimes , and quarters. There are twice as many dimes as nickels. How many of each coin are in the machine?
\n" ); document.write( "Variables:
\n" ); document.write( "d=number of dimes
\n" ); document.write( "n=number of nickels
\n" ); document.write( "q=number of quarters
\n" ); document.write( "Equations:
\n" ); document.write( "\".1d%2B.05n%2B.25q=41.25\"
\n" ); document.write( "\"d%2Bn%2Bq=225\"
\n" ); document.write( "\"d=2n\"
\n" ); document.write( "Combine:
\n" ); document.write( "\"-.1d-.1n-.1q=-22.5\"
\n" ); document.write( "+
\n" ); document.write( "\".1d%2B.05n%2B.25q=41.25\"
\n" ); document.write( "=
\n" ); document.write( "\"-.05n%2B.15q=18.75\"
\n" ); document.write( "and
\n" ); document.write( "\"-d-n-q=-225\"
\n" ); document.write( "+
\n" ); document.write( "\"d-2n=0\"
\n" ); document.write( "=
\n" ); document.write( "\"-3n-q=-225\"
\n" ); document.write( "Combine:
\n" ); document.write( "\"3n-9q=-1125\"
\n" ); document.write( "+
\n" ); document.write( "\"-3n-q=-225\"
\n" ); document.write( "=
\n" ); document.write( "\"-10q=-1350\"
\n" ); document.write( "\"q=135\"
\n" ); document.write( "Combine:
\n" ); document.write( "\"-3n-q=-225\"
\n" ); document.write( "\"-3n-135=-225\"
\n" ); document.write( "\"-3n=-90\"
\n" ); document.write( "\"n=30\"
\n" ); document.write( "combine:
\n" ); document.write( "\"d%2B30%2B135=225\"
\n" ); document.write( "\"d%2B165=225\"
\n" ); document.write( "\"d=60\"
\n" ); document.write( "So there are 60 dimes, 30 nickels, and 135 quarters.
\n" ); document.write( "
\n" );