How Much for a Turkey?

Assume that each of the 72 turkeys cost the exact same (i.e. the turkeys weren't sold by weight) and that price is an integer number of cents. Therefore, _679_ must be divisible by 72. If a number is divisible by 72 it must be divisible by both 8 and 9. Using the tests for divisibility, a number is divisible by 8 only if one of the two hold:

1. The hundreds digit is even and the last two digits are a multiple of 8.
2. The hundreds digit is odd and the last two digits are a multiple of 4 but not 8.

Since the hundreds digit is odd, the last two digits must be a multiple of 4 but not 8. The only number to put in the second blank to make this true would be 2. We now have _6792.

Now, the number _6792 must be divisible by 9, so its digits must add up to a multiple of 9. To accomplish this, the first blank must be 3. Therefore, the 72 turkeys cost $367.92 and each turkey cost $5.11.