Problem

Finding the total amount given the percentage of a partial amount In a recent year, $28 \%$ of all college students were enrolled part-time. If 6.6 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million.

Solution

Step 1 :The problem provides that 28% of all college students were enrolled part-time, and the number of part-time students was 6.6 million. We are asked to find the total number of college students.

Step 2 :We can set up a proportion to solve this problem. The proportion is 28% (or 0.28) is to 6.6 million as 100% (or 1) is to the total number of students.

Step 3 :We can solve for the total number of students by dividing 6.6 million by 0.28. In mathematical terms, this can be expressed as \( \frac{6.6}{0.28} \).

Step 4 :Performing the division gives us approximately 23.57142857142857 million.

Step 5 :Rounding this to the nearest million, we get 24 million.

Step 6 :So, the total number of college students is approximately \(\boxed{24}\) million.

From Solvely APP
Source: https://solvelyapp.com/problems/NDAcJQCV8a/

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