Henry Ernest Dudeney/Puzzles and Curious Problems/15 - Buying Turkeys/Solution

by : $15$

 * Buying Turkeys

Solution
$75$ turkeys for $16 \shillings$ each.

He sold $60$ turkeys for $18 \shillings$ each.

Proof
Let $n$ be the number of turkeys bought.

Let $t_1 \shillings$ be the price he paid per turkey for the original $n$ turkeys.

Let $t_2 \shillings$ be the price he sold the remaining $n - 15$ turkeys for.

All monetary values will be expressed in shillings.

We have:

Clearly only the positive solution makes sense.