To find the original bacterial count in the landfill sample, we use the formula:
\[
\text{Viable count per gram} = \frac{\text{Number of colonies} \times \text{Dilution factor}}{\text{Amount of sample plated (in grams)}}
\]
Step 1: Given values.
- Number of colonies (CFU) = 400
- Dilution factor = \( 10^4 \)
- Amount of sample plated = 1 gram (since it mentions 1 gram was diluted)
Step 2: Calculating the viable count.
\[
\text{Viable count per gram} = \frac{400 \times 10^4}{1} = 4,000,000 \text{ CFU per gram}
\]
Step 3: Converting to millions.
\[
\text{Viable count in million} = \frac{4,000,000}{1,000,000} = 4 \text{ million CFU per gram}
\]
Conclusion:
Explanation:
The calculation is straightforward: multiply the number of colonies by the dilution factor to revert the dilution effect and get the count per original sample volume or weight.