Math & Physics Problems Wikia
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Problem

The following problem is from the Rhind Papyrus (1650 BC):

A shepherd had a flock of sheep. He had to give a portion of his flock to a lord as tribute. The shepherd was told to give two-thirds of one-third of his original flock. The shepherd gave 70 sheep. How many sheep did the shepherd original have?

Sheep.png


Solution

Let be the size of the original flock. Two-thirds of one-third of the original flock translates to

Since 70 sheep were given as tribute, we get:

The shepherd had 315 sheep in his original flock.

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