Question

In a recent year, 34.1% of all registered doctors were female. If there were 56,600 female registered doctors that year, what was the total number of registered doctors?

Round your answer to the nearest whole number.

Answer 1

165982

Explanation:

You want to know the total number of registered doctors if 56,600 represents 34.1% of them.

Registered

If the number of doctors registered is d, then we have ...

0.341d = 56,600

d = 56,600/0.341 ≈ 165982

About 165982 doctors were registered.

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Additional comment

34.1% is close to 33.3%, or 1/3. That means about 1/3 of registered doctors were female, so the total number can be estimated to be about 3 times the number of female doctors—between 150,000 and 180,000.

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