Question 947536
N=Nickels; D=Dimes=1.5N; Q=Quarters=N-5
$0.05N+$0.10D+$0.25Q=$5.05 Substitute for D and Q
$0.05N+$0.10(1.5N)+$0.25(n-5)=$5.05
$0.05N+$0.15N+$0.25N-$1.25=$5.05 Add $1.25 to each side
$0.45N=$6.30 Divide each side by $0.45
N=14 ANSWER 1: There are 14 nickels.
D=1.5N=1.5(14)=21 ANSWER 2: There are 21 dimes.
Q=N-5=14-5=9 ANSWER 3: There are 9 quarters
CHECK
$0.05N+$0.10D+$0.25Q=$5.05
$0.05(14)+$0.10(21)+$0.25(9)=$5.05
$0.70+$2.10+$2.25=$5.05
$5.05=$5.05