Question

At Park Junior High, 10%, or 160 students, play a musical instrument. Which statement are correct? Select the three that apply.

- There are 250 students in the school.
- The total number of students is < 160.
- The total number of students is > 160.
- The percent as a part-to-whole ratio is 160/100
- The percent as a part-to-whole ratio is 10/100
- There are 1,600 students in the school.

Answer 1

To analyze the statements correctly, we'll first clarify the information given:

If 10% of the students at Park Junior High equals 160 students, we can determine the total number of students in the school.

We can set up the equation based on the percentage:

0.10 * total number of students = 160

To find the total number of students, we can rearrange the formula:

total number of students = 160 / 0.10 = 1,600

Now, let’s evaluate each statement based on our calculation:

1. **There are 250 students in the school.** - Incorrect (total is 1,600)

2. **The total number of students is < 160.** - Incorrect (total is 1,600)

3. **The total number of students is > 160.** - Correct (1,600 is greater than 160)

4. **The percent as a part-to-whole ratio is 160/100.** - Incorrect (This would suggest that 160 is a part of 100, which is not the correct interpretation)

5. **The percent as a part-to-whole ratio is 10/100.** - Correct (10% can be represented as the ratio of 10 out of 100)

6. **There are 1,600 students in the school.** - Correct (calculated total is 1,600)

Now, selecting the three correct statements:
- **The total number of students is > 160.**
- **The percent as a part-to-whole ratio is 10/100.**
- **There are 1,600 students in the school.**

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