Math Problem Statement

7). You need to seed a 96-well plate with 5500 cells/well in a final volume of 100 l/well.

A). How many cells total do you need in order to seed the entire plate, and in what total volume of medium will you need to dilute them (be sure to make extra to account for pipetting error, say 110 wells)?

B). After trypsinizing cells you count a 1:8 dilution of this “trypsinized stock” on a hemacytometer and discover that you have an average of 17 cells per quadrant (e.g. in 0.1 l). How much of your trypsinized stock do you need to use to plate the above experiment and how much culture medium?

Solution

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Math Problem Analysis

Mathematical Concepts

Multiplication and Division
Unit Conversion
Dilution Calculations

Formulas

Total cells = Cells per well × Number of wells
Total volume = Volume per well × Number of wells
Stock concentration = Cells per quadrant × 10 (conversion to cells/μl) × Dilution factor
Volume of stock required = Total cells / Stock concentration
Volume of medium required = Total volume - Volume of stock

Theorems

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Suitable Grade Level

College-level biology or biochemistry