Question 950625
P=pennies; N=nickels=3P; Q=quarters=P-5
$0.01P+$0.05N+$0.25Q=$4.08 Substitute for N and Q.
$0.01P+$0.05(3P)+$0.25(P-5)=$4.08
$0.01P+$0.15P+0.25P-$1.25=$4.08 Add $1.25 to each side.
$0.41P=$5.33 Divide each side by $0.41.
P=13 ANSWER 1: There are 13 pennies.
N=3P=3(13)=39 ANSWER 2: There are 39 nickels.
Q=P-5=13-5=8 ANSWER 3 There are 8 quarters.
CHECK:
$0.01(13)+$0.05(39)+$0.25(8)=$4.08
$0.13+$1.95+$2.00=$4.08
$4.08=$4.08