Katie has a collection of nickels, dimes and quarters with a total value of

$

8.05

. There are

8

more dimes than nickels and

5

more quarters than nickels, how many of each coin does she have?

10d + 25q+5n = 805

D = n+8

Q = n + 5

10d + 25q+5n = 805

10 (n+8) + 25 (n+5) + 5n=805

10n+80+25n+125+5n=805

40n+205=805

40n=805-205

40n = 600

N=600/40

N = 15

D = n+8

D = 15+8

D = 23

Q=n+5

Q=15+5

Q=20

So 15 nickels, 23 dimes and 20quarters.

To check

15 (0.05) = $0.75

23 (0.10) = $2.30

20 (0.25) = $5.00

Add it

5.00+2.30+0.75=8.05

7.30+.75=8.05

8.05=8.05