document.write( "Question 962207: a jar contains $8.75 in nickels, dimes, and quarters. If there are two times as many dimes as there are nickels, and 10 more dimes than quarters, how many of each coin are in the jar? \n" ); document.write( "
Algebra.Com's Answer #808283 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 = 875 \n" ); document.write( "d = 2n \n" ); document.write( "d = q + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(substitute second equation) \n" ); document.write( "25n + 25q = 875 \n" ); document.write( "2n - q = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2n + 2q = 70 \n" ); document.write( "-2n + q = -10 \n" ); document.write( "---------------------- \n" ); document.write( "3q = 60 \n" ); document.write( "q = 20 ---> d = 30 ---> n = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 15 nickels, 30 dimes, and 20 quarters. \n" ); document.write( " |