To determine which student's work is correct when finding out what number 150 is 25% of, we can set it up using equivalent ratios and solve for the unknown number.
We know that:
\[ 150 = 25% \times x \]
Where \( x \) is the unknown number we are trying to find. We can also express 25% as a fraction:
\[ 25% = \frac{25}{100} = \frac{1}{4} \]
Thus, we can rewrite the equation as:
\[ 150 = \frac{1}{4} \times x \]
To find \( x \), we can multiply both sides of the equation by 4:
\[ 150 \times 4 = x \]
Calculating that gives:
\[ x = 600 \]
Therefore, 150 is 25% of 600.
Now let's evaluate the work of each student:
- Liam - If Liam correctly set up or calculated to reach 600, he is correct.
- Yasmin - If she correctly showed that 150 is one-fourth of a number resulting in 600, she is correct.
- Isabella - If she has a different result or methodology that does not lead to 600, she's incorrect.
- Bill - If he solved it correctly reaching 600, he is correct.
Without the actual equations or methods that each student used, I cannot definitively point to the correct answer. However, the correct answer to the original problem is that 150 is 25% of 600.
Please provide the details of each student's work so I can identify whose solution is correct.