document.write( "Question 183629: Raleigh has a total of 66 coins, all of which are either dimes or nickles. The total value of the coins is $5.75. Find the number of each type of coin. \n" ); document.write( "
Algebra.Com's Answer #137872 by eperette(173)![]() ![]() ![]() You can put this solution on YOUR website! Let n = number of nickels \n" ); document.write( "d = number of dimes\r \n" ); document.write( "\n" ); document.write( "n + d = 66 \n" ); document.write( "0.05n + 0.10d = 5.75\r \n" ); document.write( "\n" ); document.write( "We will solve by using substitution\r \n" ); document.write( "\n" ); document.write( "n + d = 66 \n" ); document.write( "n + d - d = 66 - d \n" ); document.write( "n = 66 - d\r \n" ); document.write( "\n" ); document.write( "then \n" ); document.write( "0.05n + 0.10d = 5.75 \n" ); document.write( "0.05(66 - d) + 0.10d = 5.75 \n" ); document.write( "3.3 - 0.05d + 0.10d = 5.75 \n" ); document.write( "3.3 + 0.05d = 5.75 \n" ); document.write( "3.3- 3.3 + 0.05d = 5.75 - 3.3 \n" ); document.write( "0.05d = 2.45 \n" ); document.write( "0.05d/0.05= 2.45/0.05 \n" ); document.write( "d = 49\r \n" ); document.write( "\n" ); document.write( "and n = 66 -d = 66 - 49 = 17\r \n" ); document.write( "\n" ); document.write( "answer: there are 49 dimes and 17 nickels \n" ); document.write( " |