What best represents the ANC for a patient with the following WBC counts: segmented neutrophils 60%, band neutrophils 10%, total WBC 600 cells/mm3?

Steps to Solve

1. Identify the Given Values

In this problem, we need the total white blood cell (WBC) count and the percentages of segmented and band neutrophils. Let's denote:

• Total WBC count: $WBC_count$
• Percentage of segmented neutrophils: $Segmented_Percentage$
• Percentage of band neutrophils: $Band_Percentage$

2. Convert Percentages to Decimals

Before using the percentages in our equation, we need to convert them from percentages to decimals by dividing by 100.

Thus, we have:

$$ Segmented_Decimal = \frac{Segmented_Percentage}{100} $$

$$ Band_Decimal = \frac{Band_Percentage}{100} $$

3. Calculate the ANC

Now we can use the ANC formula:

$$ ANC = WBC_count \times (Segmented_Decimal + Band_Decimal) $$

4. Substitute the Given Values

Insert the known values into the formula and perform the calculation.

For example, if:

• $WBC_count = 10,000$
• $Segmented_Percentage = 60%$
• $Band_Percentage = 5%$

We substitute:

$$ Segmented_Decimal = \frac{60}{100} = 0.6 $$

$$ Band_Decimal = \frac{5}{100} = 0.05 $$

Then calculate:

$$ ANC = 10,000 \times (0.6 + 0.05) = 10,000 \times 0.65 $$

5. Final Calculation

Perform the multiplication to find the final ANC:

$$ ANC = 10,000 \times 0.65 = 6,500 $$