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Brain teaser about cats and bunnies on a math-themed background with formulas and geometric shapes.

A math puzzle on graph paper asking, "If 3 cats can catch 3 bunnies in 3 minutes, how long will it take 100 cats to catch 100 bunnies?" surrounded by mathematical equations and diagrams.

A math puzzle on graph paper asking, "If 3 cats can catch 3 bunnies in 3 minutes, how long will it take 100 cats to catch 100 bunnies?" surrounded by mathematical equations and diagrams.

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Show Answer Key & Explanations Step-by-step solution for: 35 Clever Math Brain Teasers for Kids

Problem:


If 3 cats can catch 3 bunnies in 3 minutes, how long will it take 100 cats to catch 100 bunnies?

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Step-by-Step Solution:



#### Step 1: Understand the given information
- 3 cats can catch 3 bunnies in 3 minutes.
- This implies that the rate at which the cats are catching bunnies is consistent.

#### Step 2: Determine the rate of catching bunnies
- If 3 cats catch 3 bunnies in 3 minutes, then:
- Each cat catches 1 bunny in 3 minutes.
- This is because the 3 cats are working simultaneously, and they collectively catch 3 bunnies in 3 minutes. Therefore, each cat catches 1 bunny in that time.

#### Step 3: Scale up to 100 cats
- If 1 cat catches 1 bunny in 3 minutes, then:
- 100 cats, working simultaneously, will catch 100 bunnies in the same amount of time.
- This is because each cat is independent and catches bunnies at the same rate.

#### Step 4: Conclusion
- Since 100 cats are working together and each cat catches 1 bunny in 3 minutes, it will take 3 minutes for 100 cats to catch 100 bunnies.

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Final Answer:


$$
\boxed{3}
$$
Parent Tip: Review the logic above to help your child master the concept of math puzzles brain teasers.
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