Last week, in your grandmother’s attic, you found an old piece of paper, with this written on it: 72 turkeys $ _ 5 7 . 3 _ The first and last digits of the total price were faded, and therefore, illegible. Each blank represents one digit. What was the price of one turkey?

  $9.13

Step-by-step explanation:

In order to be divisible by 72, the number must be divisible by both 8 and 9. In order to be divisible by 8, the last 3 digits must be a multiple of 8. That will be the case when the last digit is 6. (736/8 = 92)

In order to be divisible by 9, the sum of digits must be divisible by 9. The known digits so far are 5, 7, 3, 6, which have a total of 21. The first digit must also be a 6 in order for the digit total to be divisible by 9. (21+6)/9 = 3.

The total price was $657.36. The price of one turkey was ...

  $657.36 / 72 = $9.13 . . . . price of one

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.