document.write( "Question 955219: Paula has 30 coins in dimes and quarters. Their total value is $4.50 How many coins of each type does she have? \n" ); document.write( "
Algebra.Com's Answer #583491 by macston(5194)![]() ![]() You can put this solution on YOUR website! D=dimes; Q=quarters \n" ); document.write( "D+Q=30 \n" ); document.write( "D=30-Q \n" ); document.write( "$0.10D+$0.25Q=$4.50 Substitute for D \n" ); document.write( "$0.10(30-Q)+$0.25Q=$4.50 \n" ); document.write( "$3.00-$0.10Q+$0.25Q=$4.50 Subtract $3.00 from each side. \n" ); document.write( "$0.15Q=$1.50 Divide each side by $0.15 \n" ); document.write( "Q=10 ANSWER 1: There are 10 quarters. \n" ); document.write( "D=30-Q=30-10=20 ANSWER 2: There are 20 dimes. \n" ); document.write( "CHECK: \n" ); document.write( "$0.10D+$0.25Q=$4.50 \n" ); document.write( "$0.10(20)+$0.25(10)=$4.50 \n" ); document.write( "$2.00+$2.50=$4.50 \n" ); document.write( "$4.50=$4.50 \n" ); document.write( " |