Question

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.

Sample 1 4
Sample 2 1
Sample 3 9
If the sheep were equally "spread out" across all of the 40 acres, how many sheep would you expect to find on average on each acre?

Answer 1

By dividing the total number of sheep (250) by the number of acres (40), you would expect to find an average of 6.25 sheep per acre in the pasture.

Step-by-step explanation:

To find out how many sheep are grazing on each acre of the pasture, you need to divide the total number of sheep by the total number of acres. With a herd of 250 sheep and a 40-acre pasture, the calculation would be 250 sheep ÷ 40 acres, which equals 6.25 sheep per acre. This means, on average, you would expect to find approximately 6.25 sheep grazing on each acre of the pasture if the sheep were equally spread out across all of the 40 acres.