To solve the problem of calculating the income from unsold eggs on Goodness Farms, we need to follow a series of steps. Let's break it down step-by-step.
Step 1: Calculate the Total Unsold Eggs
First, we need to determine the total number of eggs that were collected but not sold on the 6th of June. We can find this by subtracting the total eggs sold from the total eggs collected for that day.
From the table:
-
Total Eggs Collected on 6th June: 177
-
Total Eggs Sold on 6th June: 48
Calculation of Unsold Eggs:
[
\text{Unsold Eggs} = \text{Total Eggs Collected} - \text{Total Eggs Sold}
]
[
\text{Unsold Eggs} = 177 - 48 = 129
]
Step 2: Convert Unsold Eggs to Crates
Next, we need to convert the number of unsold eggs into crates. Since one crate contains 30 eggs, we can find the number of crates by dividing the total unsold eggs by 30.
Calculation of Crates:
[
\text{Number of Crates} = \frac{\text{Unsold Eggs}}{30}
]
[
\text{Number of Crates} = \frac{129}{30} \approx 4.3
]
Since we cannot sell a fraction of a crate, we will consider only the whole number of crates, which is 4 crates.
Step 3: Calculate the Income from Unsold Eggs
Now, we need to calculate the income from selling these unsold eggs. The problem states that the price per crate is ₦5.00.
Calculation of Income:
[
\text{Income} = \text{Number of Crates} \times \text{Price per Crate}
]
[
\text{Income} = 4 \times 5 = ₦20.00
]
Step 4: Review the Options
Now, let's review the options provided:
- A. ₦40.00
- B. ₦45.00
- C. ₦50.00
- D. ₦55.00
The calculated income of ₦20.00 does not match any of the options provided. This indicates that there may have been a misunderstanding in the interpretation of the question or the data provided.
Step 5: Re-evaluate the Calculation
Upon reviewing the calculations, it appears that we have correctly followed the steps to determine the income from unsold eggs. However, if we consider the total unsold eggs (129) and calculate the income based on the total number of eggs rather than crates, we can find the total income from all unsold eggs.
Total Income from Unsold Eggs:
[
\text{Total Income} = \text{Unsold Eggs} \times \text{Price per Egg}
]
To find the price per egg, we can divide the price per crate by the number of eggs in a crate:
[
\text{Price per Egg} = \frac{5}{30} = \frac{1}{6} \approx 0.1667
]
Now, calculating the total income:
[
\text{Total Income} = 129 \times 0.1667 \approx 21.5
]
Conclusion
The calculations indicate that the income from unsold eggs is not matching the options provided. The correct approach is to ensure that we are interpreting the question correctly and that the data is accurate.
Revision Summary
- Calculate unsold eggs by subtracting sold eggs from collected eggs.
- Convert unsold eggs to crates by dividing by 30.
- Calculate income by multiplying the number of crates by the price per crate.
- Review options carefully and ensure calculations align with the question's requirements.
In this case, the correct answer does not match the options provided, indicating a potential error in the question or options.