Question

At Park Junior High, 10%, or 160 students, play a musical instrument. Which statements are correct? Select the three that apply.(3 points)
Responses

There are 250 students in the school.
There are 250 students in the school.

The percent as a part-to-whole ratio is 10100
The percent as a part-to-whole ratio is 10 over 100

The total number of students is <160
.
The total number of students is <160
.

The total number of students is > 160
.
The total number of students is > 160
.

The percent as a part-to-whole ratio is 160100
The percent as a part-to-whole ratio is 160 over 100

There are 1,600 students in the school.

Answers

GPT-4o mini
To determine which statements are correct, we can analyze the given information:

We know that 10% of the students play a musical instrument, and this number is 160 students.

If 10% is 160, we can find the total number of students using the equation:

\[
\text{Total Students} = \frac{\text{Part}}{\text{Percent}} = \frac{160}{0.10} = 1600
\]

Based on this information, we can evaluate the statements:

1. **There are 250 students in the school.**
- **Incorrect** (There are 1600 students, not 250.)

2. **The percent as a part-to-whole ratio is 10 over 100**
- **Correct** (10% is represented as 10/100.)

3. **The total number of students is <160.**
- **Incorrect** (The total number of students is 1600, not less than 160.)

4. **The total number of students is > 160.**
- **Correct** (The total number of students is 1600, which is greater than 160.)

5. **The percent as a part-to-whole ratio is 160 over 100.**
- **Incorrect** (The correct ratio is 10/100 for the percentage calculation.)

6. **There are 1,600 students in the school.**
- **Correct** (This statement correctly identifies the total number of students.)

So, the three correct statements are:

- The percent as a part-to-whole ratio is 10 over 100.
- The total number of students is > 160.
- There are 1,600 students in the school.

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