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Chickens and Rabbits in a Cage

⏱ 0:34📘 Grade 4 · Chickens and rabbits

8 heads, 26 legs. Ask every animal to lift two legs: 10 legs are left, all rabbit legs, 2 per rabbit. So 5 rabbits and 3 chickens.

The videos are narrated in Mandarin Chinese with on-screen subtitles.

📚 What you will learn

  • Every animal has 1 head: chickens have 2 legs, rabbits have 4.
  • Lift two legs each: 8 animals lift 8 × 2 = 16 legs, and 26 − 16 = 10 legs stay on the ground.
  • Chickens now stand on no legs, so all 10 legs belong to rabbits, 2 each: 10 ÷ 2 = 5 rabbits, 8 − 5 = 3 chickens.
  • Check: 3 × 2 + 5 × 4 = 26.

🎙️ What the video says (in Chinese)

  1. 鸡兔同笼:上面数有 8 个头,下面数有 26 只脚。鸡和兔各有几只?
  2. 喊一声口令:所有动物都抬起两只脚!
  3. 8 只动物抬起 16 只脚,地上还剩 10 只脚。鸡的脚都抬起来了,剩下的都是兔子的,每只兔子剩 2 只。
  4. 10 ÷ 2 = 5(只兔),8 − 5 = 3(只鸡)
  5. 检验:3 × 2 + 5 × 4 = 26,对啦!

✏️ Try it yourself

  1. 10 heads and 32 legs. How many rabbits?

    Show answer

    32 − 20 = 12, 12 ÷ 2 = 6 rabbits (and 4 chickens)

  2. 6 heads and 16 legs. How many chickens?

    Show answer

    16 − 12 = 4, 4 ÷ 2 = 2 rabbits, so 4 chickens

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