document.write( "Question 1009646: I have 20 coins consisting of nickels and dimes. Their total value is $1.30. How many are nickels and how many are dimes. I need two equations so I can do systems of equations \n" ); document.write( "
Algebra.Com's Answer #625106 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "N=number of nickels; D=number of dimes \n" ); document.write( ". \n" ); document.write( "N+D=20 \n" ); document.write( "N=20-D \n" ); document.write( ". \n" ); document.write( "$0.05N+$0.10D=$1.30 Substitute for N from above. \n" ); document.write( "$0.05(20-D)+$0.10D=$1.30 \n" ); document.write( "$1.00-$0.05D+$0.10D=$1.30 \n" ); document.write( "$0.05D=$0.30 \n" ); document.write( "D=6 \n" ); document.write( "ANSWER 1: There are 6 dimes. \n" ); document.write( ". \n" ); document.write( "N=20-D=20-6=14 \n" ); document.write( "ANSWER 2: There are 14 nickels. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "$0.05N+$0.10D=$1.30 \n" ); document.write( "$0.05(14)+$0.10(6)=$1.30 \n" ); document.write( "$0.70+$0.60=$1.30 \n" ); document.write( "$1.30=$1.30 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |