Question
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
Answers
GPT-4o mini
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.
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.
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