In a recent year, 23.4 of all registered doctors were female. If there were 59,500  female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.



To solve this problem, we know that 23.4% of the total number of registered doctors are female. Given that there are 59,500 female registered doctors, we can set up the equation:

\[
\text{Female doctors} = 0.234 \times \text{Total doctors}
\]

Substitute the number of female doctors (59,500) into the equation:

\[
59,500 = 0.234 \times \text{Total doctors}
\]

Now, solve for the total number of doctors:

\[
\text{Total doctors} = \frac{59,500}{0.234}
\]

\[
\text{Total doctors} = 254,716.98
\]

Rounded to the nearest whole number, the total number of registered doctors is **254,717**.

---

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions for further practice:
1. If 30% of the doctors were female, how many female doctors would there be if the total number remained 254,717?
2. How can percentages be used to estimate population distribution in different sectors?
3. What is the formula to calculate percentages of a given number?
4. How would you calculate the percentage of male doctors if the number of male doctors were 195,000?
5. What is the difference between finding percentage and finding the total number from a percentage?

Tip: When calculating the total from a percentage, always divide the given number by the decimal equivalent of the percentage.

In a recent year, 23.4% of all registered doctors were female. If there were 59,500 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

Learn how to calculate the total number of registered doctors when given the number of female doctors and the percentage. In this problem, 23.4% of the doctors were female, and there were 59,500 female doctors. The solution demonstrates how to solve for the total using basic algebra and percentage calculation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation