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8 April, 18:57

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.

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  1. 8 April, 22:52
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    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
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