Human blood contains three primary cell types: red blood cells (RBC), white blood cells (WBC), and platelets. In an adult male, a single microliter `(1xx10^(-3)` milliliters) of blood contains approximately `5.4 xx 10^(6)RBC, 7.5 xx10^(3)` WBC, and `3.5xx10^(5)` platelets on average. What percentage of an adult male's total blood cell count is compresed of red blood cells ?

Options

A. `1.30%`
B. `6.21%`
C. `60.79%`
D. `93.79%`

Answer

To find the percentage of red blood cells (RBC) in an adult male's total blood cell count, we can follow these steps:

### Step 1: Identify the number of each cell type
- Red Blood Cells (RBC): \( 5.4 \times 10^6 \)
- White Blood Cells (WBC): \( 7.5 \times 10^3 \)
- Platelets: \( 3.5 \times 10^5 \)

### Step 2: Calculate the total number of blood cells
To find the total number of blood cells, we sum the number of RBCs, WBCs, and platelets:
\[ \text{Total Cells} = \text{RBC} + \text{WBC} + \text{Platelets} \]
\[ \text{Total Cells} = 5.4 \times 10^6 + 7.5 \times 10^3 + 3.5 \times 10^5 \]

### Step 3: Convert all terms to the same power of ten
To simplify the addition, we can express all terms in terms of \( 10^6 \):
- \( 7.5 \times 10^3 = 0.0075 \times 10^6 \)
- \( 3.5 \times 10^5 = 0.35 \times 10^6 \)

Now we can rewrite the total:
\[ \text{Total Cells} = 5.4 \times 10^6 + 0.0075 \times 10^6 + 0.35 \times 10^6 \]
\[ \text{Total Cells} = (5.4 + 0.0075 + 0.35) \times 10^6 \]
\[ \text{Total Cells} = 5.7575 \times 10^6 \]

### Step 4: Calculate the percentage of RBC
The percentage of RBC in the total blood cell count is given by:
\[ \text{Percentage of RBC} = \left( \frac{\text{RBC}}{\text{Total Cells}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage of RBC} = \left( \frac{5.4 \times 10^6}{5.7575 \times 10^6} \right) \times 100 \]

### Step 5: Simplify the fraction
The \( 10^6 \) cancels out:
\[ \text{Percentage of RBC} = \left( \frac{5.4}{5.7575} \right) \times 100 \]

### Step 6: Calculate the final percentage
Using a calculator:
\[ \frac{5.4}{5.7575} \approx 0.9379 \]
\[ \text{Percentage of RBC} \approx 0.9379 \times 100 \approx 93.79\% \]

### Conclusion
The percentage of red blood cells in an adult male's total blood cell count is approximately **93.79%**.

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