Let's analyze the problem step-by-step:
Given:
- 7 adults can eat 7 cupcakes in 7 minutes.
What is asked:
- How many minutes would it take 30 adults to eat 30 cupcakes?
Step 1: Understand the rate of eating cupcakes
If 7 adults eat 7 cupcakes in 7 minutes, then:
- Each adult eats 1 cupcake in 7 minutes.
Because 7 adults eat 7 cupcakes in 7 minutes, the rate per adult is:
Rate per adult=1 cupcake7 minutes\text{Rate per adult}=\frac{1\text{ cupcake}}{7\text{ minutes}}Rate per adult=7 minutes1 cupcake
Step 2: Calculate time for 30 adults to eat 30 cupcakes
Since each adult eats 1 cupcake in 7 minutes, 30 adults eating 30 cupcakes means each adult still eats 1 cupcake. Therefore, the time taken remains the same:
7 minutes\boxed{7\text{ minutes}}7 minutes
Final answer:
It would take 30 adults 7 minutes to eat 30 cupcakes. If you want a quick intuition: Since the number of cupcakes per adult stays the same (1 cupcake per adult), increasing the number of adults and cupcakes proportionally does not change the time.
