If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 m

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Question: If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 100 minutes?

Options:

Correct Answer: 5

Solution:

The rate is 1 cat catches 1 mouse in 5 minutes. Thus, 5 cats can catch 100 mice in 100 minutes.

If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 100 minutes?

If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 100 minutes?

Step 1: Understand the problem. We know that 5 cats can catch 5 mice in 5 minutes.
Step 2: Determine the rate of catching mice. If 5 cats catch 5 mice in 5 minutes, then 1 cat catches 1 mouse in 5 minutes.
Step 3: Calculate how many mice 1 cat can catch in 100 minutes. Since 1 cat catches 1 mouse in 5 minutes, in 100 minutes, 1 cat can catch 100 / 5 = 20 mice.
Step 4: Now, we need to catch 100 mice. If 1 cat can catch 20 mice in 100 minutes, we need to find out how many cats are needed to catch 100 mice.
Step 5: Divide the total number of mice (100) by the number of mice 1 cat can catch (20). So, 100 mice / 20 mice per cat = 5 cats.
Step 6: Conclusion: We need 5 cats to catch 100 mice in 100 minutes.

Rate of Work – Understanding how the rate of work scales with the number of workers (cats) and the time available.
Proportional Relationships – Recognizing the relationship between the number of cats, mice, and time to solve the problem.