Please help.

Assume that a cell culture has a density of 10^8 cells/mL. You transfer 20 microliters of this culture onto the microscope slide.
A) How many cells do you expect will be in this 20 microliters drop you placed under the microscope?

B) You add to your sample above an equal volume of a liquid dye, India Ink solution. You transfer 20 microliters of this mixture onto a microscope slide. How many cells do you expect will be now on this 20 microliters drop you placed under the microscope?

To answer these questions, we need to understand the concept of cell density and how it relates to volume.

A) To determine the number of cells in the 20 microliters drop, we need to calculate the volume of the drop first. Since the cell culture has a density of 10^8 cells/mL, that means there are 10^8 cells in every milliliter of the culture.

To convert 20 microliters to milliliters, we divide by 1000: 20/1000 = 0.02 mL.

Now, we multiply the volume by the density to find the number of cells: 0.02 mL * 10^8 cells/mL = 2 * 10^6 cells.

Therefore, you can expect to find 2 million cells in the 20 microliters drop under the microscope.

B) When you add India Ink solution to the cell culture, you create a mixture. Now we need to calculate the number of cells in the drop of the mixture.

Since you added an equal volume of India Ink solution, the total volume of the mixture is 20 microliters + 20 microliters = 40 microliters.

Again, we convert microliters to milliliters by dividing by 1000. So, the volume of the mixture is 40/1000 = 0.04 mL.

Based on the original cell culture density of 10^8 cells/mL, we can calculate the number of cells in the mixture: 0.04 mL * 10^8 cells/mL = 4 * 10^6 cells.

Therefore, you can expect to find 4 million cells in the 20 microliters drop of the mixture under the microscope.