Math Problem Statement
Solution
To solve the problem:
The formula for calculating CFU/mL is:
Given:
- Number of colonies = 300
- Volume plated =
- Dilution factor =
Now substitute into the formula:
Step-by-step:
- Divide 300 by 0.120:
- Multiply by 10:
Answer: 25,000 CFU/mL
Let me know if you want more clarification or have any questions!
Additional Questions:
- How does the dilution factor influence CFU/mL calculations?
- What is the importance of plating a consistent volume in such calculations?
- How would the CFU/mL change if only 150 colonies were counted?
- What is the significance of CFU/mL in microbiology?
- Why is it necessary to multiply by the inverse of the dilution factor?
Tip: Always ensure you include the proper dilution factor when calculating CFU/mL to avoid errors in your final result.
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Math Problem Analysis
Mathematical Concepts
Proportions
Dilution Calculations
Microbial Colony Counting
Formulas
CFU/mL = (Number of Colonies / Volume Plated) × Dilution Factor
Theorems
Principle of Proportionality in Dilutions
Suitable Grade Level
Undergraduate Microbiology or Biology
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