Question:easy
There are nine humans in a ship. Each human has nine cages and each cage has nine huge lions, and each lion has nine cubs. How many legs are there in the ship? (Humans have two legs, lions have four legs, cubs have four legs.)
There are nine humans in a ship. Each human has nine cages and each cage has nine huge lions, and each lion has nine cubs. How many legs are there in the ship? (Humans have two legs, lions have four legs, cubs have four legs.)
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Count humans, lions and cubs separately using powers of 9, then multiply by legs per creature.
Updated On: Jul 16, 2026
- 747
- 3258
- 29178
- 26561
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: Separate the humans from all the four legged creatures.
Humans contribute $9 \times 2 = 18$ legs. Every other creature, lions and cubs, has exactly 4 legs, so it helps to count lions and cubs together and multiply by 4 only once at the end.
Step 2: Count lions and cubs as powers of 9.
Lions $= 9^3 = 729$ (one factor of 9 for humans, one for cages, one for lions per cage). Cubs $= 9^4 = 6561$ (one more factor of 9, since each lion has 9 cubs).
Step 3: Add lions and cubs, then multiply by 4 legs each.
Lions plus cubs $= 729 + 6561 = 7290$. Since each of these has 4 legs, their legs total $7290 \times 4 = 29160$.
Step 4: Add the human legs back in.
Total legs $= 18 + 29160 = 29178$, matching the first method.
Final Answer:
Total legs in the ship = 29178. \[ \boxed{29178} \]
Humans contribute $9 \times 2 = 18$ legs. Every other creature, lions and cubs, has exactly 4 legs, so it helps to count lions and cubs together and multiply by 4 only once at the end.
Step 2: Count lions and cubs as powers of 9.
Lions $= 9^3 = 729$ (one factor of 9 for humans, one for cages, one for lions per cage). Cubs $= 9^4 = 6561$ (one more factor of 9, since each lion has 9 cubs).
Step 3: Add lions and cubs, then multiply by 4 legs each.
Lions plus cubs $= 729 + 6561 = 7290$. Since each of these has 4 legs, their legs total $7290 \times 4 = 29160$.
Step 4: Add the human legs back in.
Total legs $= 18 + 29160 = 29178$, matching the first method.
Final Answer:
Total legs in the ship = 29178. \[ \boxed{29178} \]
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