To determine what number 150 is 25% of, we can set up the equation using proportions.
We know that 25% can be expressed as a fraction: \( \frac{25}{100} \) or \( \frac{1}{4} \).
So, we can set up the equation like this:
\[ \frac{25}{100} = \frac{150}{x} \]
Cross-multiplying gives us:
\[ 25x = 150 \times 100 \]
Simplifying that, we have:
\[ 25x = 15000 \]
Next, we divide both sides by 25:
\[ x = \frac{15000}{25} = 600 \]
Thus, 150 is 25% of 600.
To find out which student’s work is correct, you'll need to compare their reasoning or calculations. Unfortunately, I don’t have their solutions to assess which student is correct. However, based on the explanation above, the correct answer should be 600. Check each student’s work to see who also arrives at this conclusion!