Final answer:
To solve for the number of nickels, pennies, and dollar bills Jill has, we can set up a system of equations. Solving the system of equations will give us the value of 'n' and allow us to determine the number of each coin. The correct answer is 8 nickels, 20 pennies, and 3 dollar bills.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's use the variable 'n' to represent the number of nickels Jill has.
Since Jill has twelve more pennies than nickels, we can represent the number of pennies as 'n + 12'.
And since Jill has five fewer dollar bills than nickels, we can represent the number of dollar bills as 'n - 5'.
The total value of all the coins and bills Jill has is $9.96. We know that a nickel is worth 5 cents, a penny is worth 1 cent, and a dollar bill is worth 100 cents.
Using this information, we can set up the equation: 5n + 1(n + 12) + 100(n - 5) = 996. Solving this equation will give us the value of 'n' and allow us to determine the number of nickels, pennies, and dollar bills Jill has.
After solving the equation, we find that 'n' is equal to 8. Therefore, Jill has 8 nickels, 8 + 12 = 20 pennies, and 8 - 5 = 3 dollar bills.
So the correct answer is: Nickels: 8, Pennies: 20, Dollar bills: 3.