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
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 10100
The percent as a part-to-whole ratio is 10 over 100
There are 250 students in the school.
There are 250 students in the school.
The percent as a part-to-whole ratio is 160100
The percent as a part-to-whole ratio is 160 over 100
Responses
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 10100
The percent as a part-to-whole ratio is 10 over 100
There are 250 students in the school.
There are 250 students in the school.
The percent as a part-to-whole ratio is 160100
The percent as a part-to-whole ratio is 160 over 100
Answers
GPT-4o mini
Let's analyze the information given:
- 10% of the total number of students at Park Junior High equals 160 students.
To find the total number of students, we can set up the equation based on the given percentage:
\[
0.10 \times \text{Total Students} = 160
\]
To find the total number of students:
\[
\text{Total Students} = \frac{160}{0.10}
\]
\[
\text{Total Students} = 1600
\]
Now, we can evaluate the statements:
1. **The total number of students is > 160.** - This statement is correct because 1600 is greater than 160.
2. **The total number of students is <160.** - This statement is incorrect because 1600 is not less than 160.
3. **There are 1,600 students in the school.** - This statement is correct.
4. **The percent as a part-to-whole ratio is 10 over 100.** - This statement is correct as 10% can be represented as a ratio of 10/100.
5. **There are 250 students in the school.** - This statement is incorrect.
6. **The percent as a part-to-whole ratio is 160 over 100.** - This statement is incorrect, as the correct ratio would be 160/1600 (the number of students who play instruments over the total number of students).
Based on this analysis, the correct statements are:
1. The total number of students is > 160.
2. There are 1,600 students in the school.
3. The percent as a part-to-whole ratio is 10 over 100.
- 10% of the total number of students at Park Junior High equals 160 students.
To find the total number of students, we can set up the equation based on the given percentage:
\[
0.10 \times \text{Total Students} = 160
\]
To find the total number of students:
\[
\text{Total Students} = \frac{160}{0.10}
\]
\[
\text{Total Students} = 1600
\]
Now, we can evaluate the statements:
1. **The total number of students is > 160.** - This statement is correct because 1600 is greater than 160.
2. **The total number of students is <160.** - This statement is incorrect because 1600 is not less than 160.
3. **There are 1,600 students in the school.** - This statement is correct.
4. **The percent as a part-to-whole ratio is 10 over 100.** - This statement is correct as 10% can be represented as a ratio of 10/100.
5. **There are 250 students in the school.** - This statement is incorrect.
6. **The percent as a part-to-whole ratio is 160 over 100.** - This statement is incorrect, as the correct ratio would be 160/1600 (the number of students who play instruments over the total number of students).
Based on this analysis, the correct statements are:
1. The total number of students is > 160.
2. There are 1,600 students in the school.
3. The percent as a part-to-whole ratio is 10 over 100.
are you sure?
GPT-4o mini
Let’s reevaluate the situation step-by-step to ensure accuracy.
1. **Percentage Calculation**:
- We know that 10% of the total number of students equals 160 students.
- To find the total number of students, we can set up the equation:
\[
0.10 \times \text{Total Students} = 160
\]
- Rearranging this gives us:
\[
\text{Total Students} = \frac{160}{0.10} = 1600
\]
2. **Evaluating the Statements:**
- **The total number of students is > 160.** - **Correct** (1600 is greater than 160)
- **The total number of students is <160.** - **Incorrect** (1600 is not less than 160)
- **There are 1,600 students in the school.** - **Correct** (we calculated 1600)
- **The percent as a part-to-whole ratio is 10 over 100.** - **Correct** (10% can be represented as 10/100)
- **There are 250 students in the school.** - **Incorrect** (the total is 1600)
- **The percent as a part-to-whole ratio is 160 over 100.** - **Incorrect** (the correct ratio for the percentage calculation is not 160/100, but rather, if we were talking about the part-to-whole, it would be 160/1600)
Based on that review, **the three correct statements are**:
1. The total number of students is > 160.
2. There are 1,600 students in the school.
3. The percent as a part-to-whole ratio is 10 over 100.
I can confirm that my initial evaluation is accurate. Let me know if you have any more questions!
1. **Percentage Calculation**:
- We know that 10% of the total number of students equals 160 students.
- To find the total number of students, we can set up the equation:
\[
0.10 \times \text{Total Students} = 160
\]
- Rearranging this gives us:
\[
\text{Total Students} = \frac{160}{0.10} = 1600
\]
2. **Evaluating the Statements:**
- **The total number of students is > 160.** - **Correct** (1600 is greater than 160)
- **The total number of students is <160.** - **Incorrect** (1600 is not less than 160)
- **There are 1,600 students in the school.** - **Correct** (we calculated 1600)
- **The percent as a part-to-whole ratio is 10 over 100.** - **Correct** (10% can be represented as 10/100)
- **There are 250 students in the school.** - **Incorrect** (the total is 1600)
- **The percent as a part-to-whole ratio is 160 over 100.** - **Incorrect** (the correct ratio for the percentage calculation is not 160/100, but rather, if we were talking about the part-to-whole, it would be 160/1600)
Based on that review, **the three correct statements are**:
1. The total number of students is > 160.
2. There are 1,600 students in the school.
3. The percent as a part-to-whole ratio is 10 over 100.
I can confirm that my initial evaluation is accurate. Let me know if you have any more questions!