To solve the problem of calculating the quantity of feed required by 1,000 layers per day, we can follow a systematic approach. Let's break it down step-by-step.
Step 1: Understand the Given Information
We know that:
- 200 layers require 25 kg of layer mash per day.
Step 2: Calculate the Feed Requirement per Layer
To find out how much feed one layer requires, we can divide the total amount of feed by the number of layers:
[
\text{Feed per layer} = \frac{\text{Total feed}}{\text{Number of layers}} = \frac{25 \text{ kg}}{200 \text{ layers}} = 0.125 \text{ kg/layer}
]
Step 3: Calculate the Feed Requirement for 1,000 Layers
Now that we know each layer requires 0.125 kg of feed, we can calculate the total feed required for 1,000 layers:
[
\text{Total feed for 1,000 layers} = \text{Feed per layer} \times \text{Number of layers} = 0.125 \text{ kg/layer} \times 1,000 \text{ layers} = 125 \text{ kg}
]
Conclusion
Thus, the quantity of feed required by 1,000 layers per day is
125 kg.
Answer
The correct option is
D. 125 kg.
Explanation of Other Options
-
A. 5 kg: This option is far too low. It suggests that only a fraction of the feed is needed for 1,000 layers, which is not consistent with the calculations.
-
B. 40 kg: This option is also incorrect. It implies that each layer would only require 0.04 kg of feed, which is significantly less than the calculated requirement of 0.125 kg per layer.
-
C. 80 kg: This option is incorrect as well. It suggests that the total feed for 1,000 layers would be 80 kg, which is not supported by our calculations. It would mean each layer is getting only 0.08 kg, which is again less than the required amount.
Common Pitfalls
- Misunderstanding the ratio: It's crucial to understand that the feed requirement scales linearly with the number of layers. If you miscalculate the feed per layer, it can lead to incorrect total feed calculations.
- Forgetting to convert units: Always ensure that the units are consistent when performing calculations. In this case, we worked in kilograms and layers, which were consistent throughout.
Revision Summary
- Each layer requires 0.125 kg of feed per day.
- For 1,000 layers, multiply the feed per layer by the number of layers to find the total feed.
- The correct total feed required for 1,000 layers is 125 kg.
- Always check calculations for consistency in units and ratios.