An old book listed that 72 turkeys were bought for $ _ . _ _ each, at a total cost of $ _ 67.9 _
What was the cost of each turkey, if each _ stands for a digit that was unreadable in the old book?
Note: The _ digits are not all the same.
The '_' (underscore) are empty boxes
Using a little trial and error (and some logic)
Note that 72 is divisible by 3....so....the sum of the digits of the total price must also be divisible by 3
Also...since we have 72 turkeys.....the final digit in the price must be an even number
If we assume that the last digit of the price is 0
We have these possibilities for the price
$867.90 however....none of these are evenly divisible by 72
If we assume that the final digit in the price is a 2....we have the following :
Dividing this by 72 gives us the price per turkey = $5.11