document.write( "Question 988547: There is a collection of nickels, dimes, and quarters with total value of $47.60. There are 28 more dimes than nickels. There are 5 times as many quarters as dimes. How many quarters are in the collection? \n" ); document.write( "
Algebra.Com's Answer #805523 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! n = number of nickels \n" ); document.write( "d = number of dimes \n" ); document.write( "q = number of quarters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5n + 10d + 25q = 4760 \n" ); document.write( "d = n + 28 \n" ); document.write( "q = 5d = 5(n + 28)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Write everything in terms of n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5n + 10d + 25q = 4760 \n" ); document.write( "5n + 10(n + 28) + 25(5(n+28)) = 4760 \n" ); document.write( "5n + 10n + 280 + 125n + 3500 = 4760 \n" ); document.write( "140n = 980 \n" ); document.write( "n = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 7 nickels, 35 dimes, and 175 quarters in the collection. \n" ); document.write( " |