Questions: In a recent year, 24% of all college students were enrolled part-time. If 6.1 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million. million

In a recent year, 24% of all college students were enrolled part-time. If 6.1 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million. million
Transcript text: In a recent year, $24 \%$ of all college students were enrolled part-time. If 6.1 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million. $\square$ million
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Solution

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Solution Steps

Step 1: Convert the percentage of part-time students to a decimal

The percentage of part-time students, \(P\), is already given as a decimal: 0.24.

Step 2: Calculate the total number of students

Using the formula \[ \text{Total number of students} = \frac{N}{P} \], where \(N\) is the actual number of part-time students in millions (6.1 million) and \(P\) is the percentage of students enrolled part-time as a decimal (0.24), we calculate the total number of students. \[ \text{Total number of students} = \frac{6.1}{0.24} = 25.417 \]

Step 3: Round the result

We round the total number of students to the nearest million, resulting in 25 million students.

Final Answer:

The total number of college students is approximately 25 million.

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