To analyze the statements based on the information given, let's break it down:
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10% of the students play a musical instrument, and this accounts for 160 students.
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To find the total number of students in the school, we can set up the equation based on the percentage given:
\[ 0.10 \times \text{Total Students} = 160 \]
\[ \text{Total Students} = \frac{160}{0.10} = 1600 \]
So, we find that there are 1,600 students in the school.
Now, let’s evaluate the statements:
- The percent as a part-to-whole ratio is 10 over 100 - This statement is correct. This is how percentages are expressed as a fraction.
- There are 250 students in the school - This statement is incorrect. The total is 1,600.
- The total number of students is > 160 - This statement is correct. The total is 1,600 students, which is greater than 160.
- There are 1,600 students in the school - This statement is correct, as calculated.
- The total number of students is < 160 - This statement is incorrect. The total is 1,600, which is not less than 160.
- The percent as a part-to-whole ratio is 16 over 100 - This statement is incorrect. It should be 10 over 100, relating to the percentage of students playing an instrument.
From this evaluation, 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.