Question: In a recent year, 27% of all college students were enrolled part-time. If 6.4 million college…

In a recent year, 27% of all college students were enrolled part-time. If 6.4 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

In a recent year, 27% of all college students were enrolled part-time. If 6.4 million college students were enrolled part-time that year, we need to find the total number of college students. Let’s round the final answer to the nearest million. Let \( x \) be the total number of college students. Since 27% were enrolled part-time, we can write the equation: \[ 0.27x = 6.4 \] Solve for \( x \): \[ x = \frac{6.4}{0.27} \] Calculate the division: \[ x \approx 23.7037 \] Rounding \( x \) to the nearest million, we get: \[ x \approx 24 \] The total number of college students was approximately 24 million.