# Title:
60 Heads. 194 Legs. Something’s Off…
# Subtitle:
Assumption-Based Strategy — No Algebra, Just Logic
# Strategy:
Assumption Method
# Keywords:
Chickens, Dogs, Legs, Logical Reasoning, Mental Model
# Segment 1: Philosophical Hook
You never counted the legs.
You never saw the animals.
But somehow… you *know* the truth.
---
That’s the magic of math.
Not numbers—structure.
---
This is not about numbers. It’s about *structure*.
Let’s try that kind of thinking, right now.
# Segment 2: Problem Setup
60 animals total
194 legs in all
Chickens = 2 legs
Dogs = 4 legs
How many of each?
---
You’re told there are 60 animals.
Altogether, they have 194 legs.
Chickens have 2. Dogs have 4.
Let’s solve this—no variables. No equations. Just logic.
# Segment 3: Assumption Begins
Assume: All are chickens
→ 60 × 2 = 120 legs
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Let’s assume every animal is a chicken.
60 chickens means 60 × 2 = 120 legs.
But wait—we *actually* have 194 legs.
Something doesn’t add up.
# Segment 4: The Gap
Reality = 194
Assumed = 120
→ Extra legs = 194 - 120 = 74
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The real world has 74 more legs than our guess.
So what kind of animal adds extra legs?
# Segment 5: Dog Adjustment
Each dog = 4 legs
Each chicken = 2 legs
→ Dog gives +2 legs
→ 74 ÷ 2 = 37 dogs
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Every time we swap a chicken for a dog,
we gain 2 extra legs.
So to get 74 extra legs,
we need 74 ÷ 2 = 37 dogs.
# Segment 6: Final Count
Total animals = 60
→ Chickens = 60 - 37 = 23
✅ Answer: 37 dogs, 23 chickens
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That leaves 23 chickens.
37 dogs, 23 chickens—solved.
No algebra.
Just assumption-based logic.
# Segment 7: Reflective Summary
ASSUME → TEST → ADJUST → SOLVE
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Real thinkers don’t rush to variables.
They test simpler worlds first—
then let logic do the heavy lifting.
Assume. Test. Adjust. Solve.
# Segment 8: Teaser for Episode 2
🎟 50 tickets
💰 $312
Adults = $8
Children = $4
→ How many of each?
---
What if instead of legs… you were given prices?
Can the same method still work?
Find out next time.
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答案文本
视频字幕
You never counted the legs. You never saw the animals. But somehow, you know the truth. That's the magic of math. Not numbers, but structure. This is not about numbers. It's about structure. Let's try that kind of thinking, right now.
60 animals total. 194 legs in all. Chickens have 2 legs. Dogs have 4 legs. How many of each? You're told there are 60 animals. Altogether, they have 194 legs. Chickens have 2. Dogs have 4. Let's solve this—no variables. No equations. Just logic.
Assume all are chickens. 60 times 2 equals 120 legs. Let's assume every animal is a chicken. 60 chickens means 60 times 2 equals 120 legs. But wait—we actually have 194 legs. Something doesn't add up.
Reality equals 194. Assumed equals 120. Extra legs equals 194 minus 120 equals 74. The real world has 74 more legs than our guess. Each dog has 4 legs. Each chicken has 2 legs. So a dog gives plus 2 legs. Every time we swap a chicken for a dog, we gain 2 extra legs. So to get 74 extra legs, we need 74 divided by 2 equals 37 dogs.
Total animals equals 60. So chickens equals 60 minus 37 equals 23. Answer: 37 dogs, 23 chickens. That leaves 23 chickens. 37 dogs, 23 chickens—solved. No algebra. Just assumption-based logic. Assume, test, adjust, solve. Real thinkers don't rush to variables. They test simpler worlds first, then let logic do the heavy lifting. Assume. Test. Adjust. Solve.