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Question

Human blood contains three primary cell types: red blood cells (RBC), white blood cells (WBC), and platelets. In an adult male, a single microliter (1×103ml) of blood contains approximately 5.4×106RBC,7.5×103WBC, and 3.5×105 platelets on average. Calculate the approximate composition of RBC in an adult human's total blood count.

A
1.30%
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B
6.21%
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C
60.79%
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D
93.79%
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Solution

The correct option is D 93.79%
Start by setting up a ratio that compares RBC count to total blood cell count. Manipulate the quantities to make all the exponents the same, factor out 106, and then add the quantities in parentheses together. Once there, you can use exponent rules to simplify your equation. Divide through and multiply by 100 to get the RBC component as a percentage. Work is shown below.
RBC=5.4×1065.4×106+7.5×103+3.5×105
RBC=5.4×1065.4×106+0.0075×106+0.35×106
RBC=5.4×106106(5.4+0.0075+0.35)
RBC=5.45.7575
Note that the answer choices are, for the most part, par apart. Because 5.4 is relatively close to 5.7575, you can conclude with confidence that the correct answer is likely close to 100%. Therefore, (D) is the correct answer. If this question is in the calculator section, you can plug the numbers into your calculator to check:
% RBC=5.45.7575×10093.79%
Choice (D) is still correct.

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