In a nursing school with 89 students, if 7 out of 8 are female, what percentage of students are female?

Rationale

87.50% of the students in the nursing school are female.

To find the percentage of female students, we calculate the number of females by taking 7/8 of the total student count and then convert that into a percentage. Given 89 students, this results in approximately 78.75 females, which when rounded to the nearest whole number gives us 78 females, leading to a percentage of 87.50%.

A (85%) YOUR ANSWER

This option suggests that 85% of the students are female. To reach this percentage, there would need to be about 75.65 females, which is inconsistent with the calculation of 7 out of 8 students being female. Therefore, this answer is incorrect.

B (87.50%) CORRECT

This is the correct answer. By calculating 7/8 of 89, we find that approximately 78.75 students are female. Dividing this by 89 and multiplying by 100 gives us 87.50%. This aligns with the interpretation of the fraction provided.

C (90%) YOUR ANSWER

Claiming that 90% of the students are female implies that there would be around 80.1 female students. This figure exceeds the calculated number of approximately 78.75 females, making this choice incorrect.

D (75%) YOUR ANSWER

If 75% of the students were female, there would be about 66.75 female students. This is far below the approximately 78.75 calculated using the 7 out of 8 ratio, thus rendering this option incorrect.

Conclusion

The calculation confirms that 87.50% of the nursing school students are female, based on the ratio provided. The other options misrepresent the proportion of female students either by underestimating or overestimating the total based on the given student count. Accurate interpretation of ratios is essential for determining demographic statistics in educational settings.

In a nursing school with 89 students, if 7 out of 8 are female, what percentage of students are female?

87.50% of the students in the nursing school are female.

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