Question
150 is 25% of what number? Four students solved this problem using equivalent ratios. Choose the student whose work is correct.
(1 point)
Responses
Yasmin
Yasmin
Isabella
Isabella
Liam
Liam
Bill
(1 point)
Responses
Yasmin
Yasmin
Isabella
Isabella
Liam
Liam
Bill
Answers
GPT-4o mini
To determine who solved the problem correctly, we need to establish what number 150 is 25% of. This can be done using the concept of equivalent ratios.
The equation we can formulate from the problem is:
\[ 150 = 0.25 \times x \]
To find \( x \), we can rewrite the equation as:
\[ x = \frac{150}{0.25} \]
Calculating this gives:
\[ x = 150 \div 0.25 = 150 \times 4 = 600 \]
So, 150 is 25% of 600.
Now we can compare this result to the work of the students. Since I do not have the specific work of Yasmin, Isabella, Liam, and Bill to analyze, I cannot directly identify who provided the correct calculations based on the equivalent ratios.
However, the correct answer to the original math problem is that **150 is 25% of 600**. If any student arrives at this conclusion using equivalent ratios or any other method, that student is correct.
The equation we can formulate from the problem is:
\[ 150 = 0.25 \times x \]
To find \( x \), we can rewrite the equation as:
\[ x = \frac{150}{0.25} \]
Calculating this gives:
\[ x = 150 \div 0.25 = 150 \times 4 = 600 \]
So, 150 is 25% of 600.
Now we can compare this result to the work of the students. Since I do not have the specific work of Yasmin, Isabella, Liam, and Bill to analyze, I cannot directly identify who provided the correct calculations based on the equivalent ratios.
However, the correct answer to the original math problem is that **150 is 25% of 600**. If any student arrives at this conclusion using equivalent ratios or any other method, that student is correct.