document.write( "Question 950625: Russell has $4.08 in quarters, nickels, and pennies. If he has three times as many nickels as pennies and five less quarters than the number of pennies, how many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #580483 by macston(5194)![]() ![]() You can put this solution on YOUR website! P=pennies; N=nickels=3P; Q=quarters=P-5 \n" ); document.write( "$0.01P+$0.05N+$0.25Q=$4.08 Substitute for N and Q. \n" ); document.write( "$0.01P+$0.05(3P)+$0.25(P-5)=$4.08 \n" ); document.write( "$0.01P+$0.15P+0.25P-$1.25=$4.08 Add $1.25 to each side. \n" ); document.write( "$0.41P=$5.33 Divide each side by $0.41. \n" ); document.write( "P=13 ANSWER 1: There are 13 pennies. \n" ); document.write( "N=3P=3(13)=39 ANSWER 2: There are 39 nickels. \n" ); document.write( "Q=P-5=13-5=8 ANSWER 3 There are 8 quarters. \n" ); document.write( "CHECK: \n" ); document.write( "$0.01(13)+$0.05(39)+$0.25(8)=$4.08 \n" ); document.write( "$0.13+$1.95+$2.00=$4.08 \n" ); document.write( "$4.08=$4.08 \n" ); document.write( " \n" ); document.write( " |