An old book listed that 72 turkeys were bought for $\$\square.\square\square$ each, at a total cost of $\$\square 67.9\square.$

Question

What was the cost of each turkey, if each $\square$ stands for a digit that was unreadable in the old book?

Note: The $\square$ digits are not all the same.

Answer 1

I'll use x for ease of typing

each turkey cost x.xx/72
72*x.xx = x67.9x

start listing multiples of 72 that end in 9x:

72*11 = 792
72*18 = 1296
72*36 = 2592

Check to see which works out