Chickens & rabbits

The question

A farmyard has 32 ducks and sheep in it. Counting every leg comes to 96.

How many are sheep?

Assume they are all the same, then fix it

animals:32· legs:96
32×2=64
96−64=32
32÷2=16
  1. There are 32 animals altogether, standing on 96 legs.
  2. Pretend every one of them has two legs: 32 × 2 = 64 legs.
  3. The real count is 96, so the pretend one is short by 96 − 64 = 32 legs.
  4. Each four-legged animal adds 2 more legs. So the number to turn is 32 ÷ 2 = 16 sheep.

How it works.

  1. 01

    There are 32 animals altogether, standing on 96 legs.

  2. 02

    Pretend every one of them has two legs: 32 × 2 = 64 legs.

  3. 03

    The real count is 96, so the pretend one is short by 96 − 64 = 32 legs.

  4. 04

    Each four-legged animal adds 2 more legs. So the number to turn is 32 ÷ 2 = 16 sheep.