Propositiones ad Acuendos Juvenes/Problems/49 - De Carpentariis

by : Problem $49$

 * De Carpentariis: Carpenters
 * $7$ carpenters made $7$ wheels each.
 * How many carts were fitted?

Solution

 * $12$, with one wheel left over.

Proof
Let $x$ be the number of carts fitted.

Let $y$ be the number of wheels made.

It is presumed that each cart has $4$ wheels.

Thus we have:

That is, we have that:
 * $49 = 4 \times 12 + 1$

The result follows.