Propositiones ad Acuendos Juvenes/Problems/21 - De Campo et Ovibus in Eo Locandis

by : Problem $21$

 * De Campo et Ovibus in Eo Locandis: Sheep in a Field
 * There is a field $200$ feet long and $100$ feet wide.
 * I want to put sheep in it, so that each sheep has $5$ feet by $4$.
 * How many sheep can I put in there?

Solution

 * $1000$.

Proof
We have that:
 * $5$ goes into $200$ a total of $40$ times
 * $4$ goes into $100$ also a total of $25$ times.

Thus we can put $40 \times 25 = 1000$ sheep into that field.