Question

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?

Answer 1

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