150 is 25% of what number? Four students solved this problem using equivalent ratios. Choose the student whose work is correct. (1 point) students Liam Yasmin Isabella Bill

1 answer

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:

  1. Liam - If Liam correctly set up or calculated to reach 600, he is correct.
  2. Yasmin - If she correctly showed that 150 is one-fourth of a number resulting in 600, she is correct.
  3. Isabella - If she has a different result or methodology that does not lead to 600, she's incorrect.
  4. 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.