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 50 minutes? (2022)

Options:

Correct Answer: 25

Exam Year: 2022

Solution:

5 cats catch 5 mice in 5 minutes, so 1 cat catches 1 mouse in 5 minutes. To catch 100 mice in 50 minutes, we need 20 cats.

If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 50 minutes? (2022)

If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 50 minutes? (2022)

Step 1: Understand that 5 cats can catch 5 mice in 5 minutes.
Step 2: This means that 1 cat can catch 1 mouse in 5 minutes.
Step 3: Now, we need to find out how many mice can 1 cat catch in 50 minutes.
Step 4: Since 50 minutes is 10 times longer than 5 minutes, 1 cat can catch 10 mice in 50 minutes.
Step 5: To catch 100 mice in 50 minutes, we need to divide the total mice (100) by the number of mice 1 cat can catch in that time (10).
Step 6: 100 mice ÷ 10 mice per cat = 10 cats needed.

Rate of Work – Understanding how the rate of work scales with the number of workers (cats) and the time available.
Proportional Relationships – Applying proportional reasoning to determine how many resources (cats) are needed to achieve a specific outcome (catching mice).