If chicken and a half lays an egg in a half in a day and a half, how many eggs would 3 chickens lay in 3 days?
The Correct Answer and Explanation is:
To solve the problem, let’s break down the information and approach it step by step.
Step 1: Understand the given condition
The statement says “one and a half chickens lay an egg and a half in a day and a half.” This means:
- 1.5 chickens produce 1.5 eggs in 1.5 days.
This implies that 1 chicken lays 1 egg in 1.5 days because when you divide the 1.5 eggs by 1.5 chickens, each chicken lays 1 egg in 1.5 days.
Step 2: Calculate the egg production rate per chicken
From the above, we know that 1 chicken lays 1 egg in 1.5 days. To find how many eggs 1 chicken lays in 1 day, divide 1 egg by 1.5 days:
[
\text{Eggs per chicken per day} = \frac{1 \text{ egg}}{1.5 \text{ days}} = \frac{2}{3} \text{ eggs per day}.
]
So, 1 chicken lays ( \frac{2}{3} ) of an egg per day.
Step 3: Calculate how many eggs 3 chickens will lay in 3 days
Now that we know each chicken lays ( \frac{2}{3} ) of an egg per day, we can calculate how many eggs 3 chickens will lay in 3 days.
- 1 chicken will lay ( \frac{2}{3} \times 3 = 2 ) eggs in 3 days.
- Therefore, 3 chickens will lay ( 3 \times 2 = 6 ) eggs in 3 days.
Final Answer:
3 chickens will lay 6 eggs in 3 days.
Explanation Recap:
We derived that each chicken lays ( \frac{2}{3} ) of an egg per day by dividing the egg production by the number of chickens and the time period given. Then, multiplying the daily egg production by the number of chickens and the time period in question, we found that 3 chickens would lay 6 eggs in 3 days.