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

Question

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

Answer 1

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.

Answer 2

are you sure?

Answer 3

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!