Jill has $9.96 in nickels, pennies, and dollar bills in her bank. If she has 12 more pennies than nickels and 5 less dollar bills than nickels, how many of each does she have.

Show work

Number of pennies:P

Number of nickels:N

Number of dollar bills:D

P=N+12

N=D+5

1P+5N+100D=996

^given

Therefore

P = (D+5) + 12

P=D+17

Plug back into main equation

(D+17) + 5 (D+5) + 100D=996

Combine like terms

106D+42=996

106D=954

D=954/106=9

9 Dollar bills

N=D+5

N = (9) + 5=14

14 Nickels

P=N+12

P = (14) + 12=26

26 Pennies

26*1+14*5+9*100=996

Final answer:

9 Dollars

14 Nickels

26 Pennies