Problem: an old book listed that 72 turkeys were bought for $\$\square.\square\square$ each, at a total cost of $\$\square 67.9\square.$ what was the cost of each turkey, if each $\square$ stands for a digit that was unreadable in the old book

  72 turkeys were bought at $5.11 each for a total cost of $367.92.

Step-by-step explanation:

Trial and error isn't so difficult for this problem. The final price will be an even number of cents. Without those pennies added, the price per turkey must be below an integer number of cents, but within 1/8 cent of that integer number.

For higher first digits of the total cost, the per-turkey cost is more than 3 digits.

For our "good candidate", the per-turkey cost will be $5.11, so the total bill will be $5.11×72 = $367.92  . . . .  matches the required digits.

the correct answer is 5 6 and 7

the square root of what number? if you add that, then someone will probably answer the question.