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.

1 answer

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.