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

Answer 1

To find out what number 150 is 25% of, we can set up the equation using equivalent ratios.

Let \( x \) be the number we are trying to find. Since 25% can be expressed as a fraction, we write:

\[ 150 = 0.25 \times x \]

To solve for \( x \), rearrange the equation:

\[ x = \frac{150}{0.25} \]

Calculating that:

\[ x = 150 \div 0.25 = 150 \times 4 = 600 \]

Thus, 150 is 25% of 600.

Now, let's check which student's work is correct if they wrote their solutions using equivalent ratios.

1. Bill's Work: (If Bill set it up as \( \frac{150}{x} = \frac{25}{100} \)).
2. Isabella's Work: (If Isabella used a different setup).
3. Yasmin's Work: (If Yasmin derived a value for \( x \)).
4. Liam's Work: (If Liam set it up correctly).

If any of the students set up the proportions correctly from the start leading to the conclusion that \( x = 600 \), that student is correct.

However, without specific details on their methods, it's impossible to determine exactly whose worked is correct. You need to compare their proportional setups to find the correct one.

If the question specifies their approaches or shows how each student solved it, I can help identify the correct answer based on that information.