document.write( "Question 1014513: John collects coins. He has 51 coins, consisting of dimes and nickles, that are worth $3.35. How many of each type of coin does he have? \n" ); document.write( "
Algebra.Com's Answer #630825 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "N=nickels; D=dimes \n" ); document.write( ". \n" ); document.write( "N+D=51 \n" ); document.write( "D=51-N . Use this to substitute for D below. \n" ); document.write( ". \n" ); document.write( "$0.05N+$0.10D=$3.35 . Substitute for D from above. \n" ); document.write( "$0.05N+$0.10(51-N)=$3.35 \n" ); document.write( "$0.05N+$5.10-$0.10N=$3.35 \n" ); document.write( "-$0.05N=-$1.75 \n" ); document.write( "N=35 \n" ); document.write( ". \n" ); document.write( "ANSWER 1: He has 35 nickels. \n" ); document.write( ". \n" ); document.write( "D=51-N=51-36=16 \n" ); document.write( ". \n" ); document.write( "ANSWER 2: He has 16 nickels. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "$0.05N+$0.10D=$3.35 \n" ); document.write( "$0.05(35)+$0.10(16)=$3.35 \n" ); document.write( "$1.75+$1.60=$3.35 \n" ); document.write( "$3.35=$3.35 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |