Question

At College X, the faculty-to-student ratio is 1:9. If two-third of the students are female and one-quarter of the faculty is female, what fraction of the combined students and faculty is female?​

Answer 1

Answer:

5/8

Step-by-step explanation:

Picking 100 can make it difficult, though. Fortunately, there's a trick to it! A 1:9 ratio has a total of ten parts, we're taking thirds of the the faculty, and quarters of the students. So we need a number divisible by 10, 3, and 4; multiply them out and we get 120. Start there, and things work out much better! 12 faculty, 3 female faculty, 108 students, 72 female students, 75 females gives us 75/120 = 15/24 = 5/8.