Question 59

87.50% of the students are female.

To calculate the percentage of female students, we find that 7 out of every 8 students are female. Therefore, with 89 total students, we can determine that the number of female students is 7/8 of 89, which equals approximately 78.25, rounded to 79. This results in a percentage of female students calculated as (79/89) * 100, equating to about 87.50%.

A) 85%

Option A is incorrect because 85% of 89 students would equal approximately 75.65 students. This does not accurately reflect the actual number of female students based on the given ratio of 7 out of 8.

B) 87.50%

This option is correct as it accurately reflects the calculation of female students in the nursing school. By determining that 7 out of 8 students are female, we find that approximately 79 out of 89 students are female, leading to a percentage of 87.50%.

C) 90%

Option C is incorrect because 90% of 89 students would equal 80.1 students. This number exceeds the actual number of female students calculated from the 7 out of 8 ratio.

D) 75%

Option D is incorrect as well, since 75% of 89 students equates to approximately 66.75 students. This figure is significantly lower than the actual number of female students in the nursing school.

Conclusion

The correct answer of 87.50% accurately reflects the proportion of female students based on the ratio provided. Other options fail because they miscalculate the actual number of female students or misinterpret the ratio of female to male students. Thus, option B stands out as the accurate representation of the female student percentage.