document.write( "Question 262199: There are 16 coins in a bank. If the coins are all nickels and dimes and they total $1.05, how many nickels are there? \n" ); document.write( "
Algebra.Com's Answer #193142 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! Let n = the number of nickels \n" ); document.write( " d = the number of dimes\r \n" ); document.write( "\n" ); document.write( "Eqn 1: n + d = 16 \n" ); document.write( "Eqn 2: 0.05*n + 0.10*d = 1.05\r \n" ); document.write( "\n" ); document.write( "Step 1: Isolate for d in Eqn. 1:\r \n" ); document.write( "\n" ); document.write( "d = 16-n\r \n" ); document.write( "\n" ); document.write( "Step 2: Substitute this value of d into Eqn 2:\r \n" ); document.write( "\n" ); document.write( "0.05*n + 0.10*(16-n) = 1.05 \n" ); document.write( "0.05n + 1.6 - 0.10n = 1.05\r \n" ); document.write( "\n" ); document.write( "-0.05n = -0.55\r \n" ); document.write( "\n" ); document.write( "Divide both sides by -0.05: \n" ); document.write( "n = -0.55/-0.05 \n" ); document.write( "n = 11\r \n" ); document.write( "\n" ); document.write( "There are 11 nickels and 5 dimes. \n" ); document.write( " |