document.write( "Question 957998: Sally has 100 coins all of which are dimes, nickels, and quarters. She has $13.00 in coins. She has 3 times as many nickels as dimes. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #808348 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( "n + d + q = 100 \n" ); document.write( "5n + 10d + 25q = 1300 \n" ); document.write( "n = 3d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute the third equation into the first two equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4d + q = 100 \n" ); document.write( "25d + 25q = 1300 ---> d + q = 52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4d + q = 100 \n" ); document.write( "-d - q = -52 \n" ); document.write( "------------------ \n" ); document.write( "3d = 48 --> d = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 48 nickels, 16 dimes, and 36 quarters. \n" ); document.write( " |