To determine which statements are correct, we first need to understand the information provided. We know that 10% of the students at Park Junior High amount to 160 students.
To find the total number of students, we can set up the equation based on the percentage:
Let \( x \) be the total number of students.
According to the information given: \[ 10% , \text{of} , x = 160 \] This can be expressed as: \[ 0.10 \times x = 160 \]
To solve for \( x \), we divide both sides by 0.10: \[ x = \frac{160}{0.10} \] \[ x = 1600 \]
So, the total number of students at the school is 1,600.
Now, let's evaluate each statement:
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The total number of students is > 160: This is true since 1,600 is greater than 160.
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There are 1,600 students in the school: This is true since we calculated that the total number of students is 1,600.
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The percent as a part-to-whole ratio is 160 over 100: This statement is misleading. The correct part-to-whole ratio should compare the part (160) to the whole (1,600), not 100. The correct ratio would be \( \frac{160}{1600} \), which simplifies to \( \frac{1}{10} \) or 10%. Thus, this statement is false.
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The total number of students is < 160: This is false since we found there are 1,600 students.
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There are 250 students in the school: This is false since we determined there are 1,600 students.
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The percent as a part-to-whole ratio is 10 over 100: This is misleading in context. It is true that 10% can be expressed as \( \frac{10}{100} \), but it does not relate correctly to the part-to-whole situation we are discussing (where 160 is the part out of 1,600). Thus, this statement is also false.
Based on this evaluation, 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 actually 160 over 1,600, not as stated, but minimally, it points towards the correct idea of percentage (though the exact statement was not correctly phrased).
Since you selected three options, and based on our findings, we realize that we will have two definite truths (the first two), and the third would need to point to the acceptable format even though it was not precisely expressed.
Thus, the answers selected would ideally be first two with an understanding of the ratio needing clarification.
1 answer