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 . There are 1,600 students in the school. There are 1,600 students in the school. 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 The total number of students is <160 . The total number of students is <160 . The percent as a part-to-whole ratio is 10100

1 answer

To find the correct statements, let's first analyze the given information:

10% of the total number of students at Park Junior High is equal to 160 students. Mathematically, this can be represented as:

0.10 * Total Students = 160

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

Total Students = 160 / 0.10 = 1600

Based on this calculation, we can evaluate the statements provided.

  1. The total number of students is > 160. - Correct (since the total is 1600).
  2. There are 1,600 students in the school. - Correct (as calculated).
  3. The total number of students is < 160. - Incorrect (since the total is 1600).
  4. There are 250 students in the school. - Incorrect (the total is 1600).
  5. The percent as a part-to-whole ratio is 160/100. - Incorrect (the proper ratio for percentage is part (160) / whole (1600), which simplifies to 1/10).
  6. The percent as a part-to-whole ratio is 10/100. - Correct (it is actually 10% which can be represented as 10/100, and is accurate).

Thus, the three correct statements are:

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