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 . There are 1,600 students in the school. There are 1,600 students in the school. The percent as a part-to-whole ratio is 160100
Answers
GPT-4o mini
To find the correct statements regarding the number of students at Park Junior High, we know that 10% of the students play a musical instrument, and that this represents 160 students.
To determine the total number of students in the school, we can use the percentage information:
Let \( x \) be the total number of students. Then, 10% of \( x \) equals 160:
\[
0.10x = 160
\]
Solving for \( x \):
\[
x = \frac{160}{0.10} = 1600
\]
So, the total number of students is 1,600.
Now, let's evaluate the statements:
1. **There are 250 students in the school.** - **Incorrect** (The total is 1,600)
2. **The percent as a part-to-whole ratio is 10 over 100.** - **Correct**
3. **The total number of students is > 160.** - **Correct** (It is 1,600)
4. **The total number of students is < 160.** - **Incorrect** (It is 1,600)
5. **There are 1,600 students in the school.** - **Correct**
6. **The percent as a part-to-whole ratio is 160 over 100.** - **Incorrect** (It should be 10 over 100)
Thus, the 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.
To determine the total number of students in the school, we can use the percentage information:
Let \( x \) be the total number of students. Then, 10% of \( x \) equals 160:
\[
0.10x = 160
\]
Solving for \( x \):
\[
x = \frac{160}{0.10} = 1600
\]
So, the total number of students is 1,600.
Now, let's evaluate the statements:
1. **There are 250 students in the school.** - **Incorrect** (The total is 1,600)
2. **The percent as a part-to-whole ratio is 10 over 100.** - **Correct**
3. **The total number of students is > 160.** - **Correct** (It is 1,600)
4. **The total number of students is < 160.** - **Incorrect** (It is 1,600)
5. **There are 1,600 students in the school.** - **Correct**
6. **The percent as a part-to-whole ratio is 160 over 100.** - **Incorrect** (It should be 10 over 100)
Thus, the 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.