Katie has a collection of nickels, dimes and quarters with a total value of $ 8.30 . There are 8 more dimes than nickels and 6 more quarters than nickels, how many of each coin does she have?

Answer 1

5N+10D+25Q = 830

D=8+N

Q=6+N

5N+10(8+N) + 25(6+N) = 830

5N+10N+25N = 830 - 80- 150

40N = 600

N =600/40 = 15 Nickels

D=8+15 = 23 Dimes

Q = 6+15 = 21 Quarters

check the answers

15x5 = 75

23x10 = 230

21x25= 525

75+230+525 = 830