Questions: In a recent year, 32.9% of all registered doctors were female. If there were 58,500 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

In a recent year, 32.9% of all registered doctors were female. If there were 58,500 female registered doctors that year, what was the total number of registered doctors?

Round your answer to the nearest whole number.

Transcript text: In a recent year, 32.9% of all registered doctors were female. If there were 58,500 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

Solution

Solution Steps

Step 1: Convert the percentage to its decimal form

To find the total number of items, first, we convert the given percentage \(p = 32.9\%\) to its decimal form by dividing it by 100. Thus, we get \(p = 32.9 / 100 = 0.329\).

Step 2: Calculate the total number of items

Next, we divide the actual number of items in the subset \(n = 58500\) by the decimal form of \(p\) to find the total number of items. This gives us \( ext{Total number of items} = n / p = 58500 / 0.329 = 177811.550\).

Step 3: Round the result

Finally, we round the result to the nearest whole number (or to the specified number of decimal places, 0 in this case), giving us a total of 177812 items.