rppala90 wrote:Each of the students in a certain class received a single grade of P,F, or I.
What percent of students in the class were females ?
(1) Of those who received a P , 40 percent were females.
(2) Of those who received an F or I, 80 percent were males.
Question: What is the ratio of females to males?
This is a weighted average question.
Statement 1: P = 40% female.
Statement 2: F+I = 20% female.
Without knowing what percent of ALL the grades (P+F+I) were female, we cannot determine F:M.
To illustrate:
Let P = 50 and F+I = 50.
Female P = .4(50) = 20.
Female (F+I) = .2(50) = 10.
Total females = 20+10 = 30.
Total males = 100-30 = 70.
F:M = 3:7.
Let P = 90 and F+I = 10.
Female P = .4(90) = 36.
Female (F+I) = .2(10) = 2.
Total females = 36+2 = 38.
Total males = 100-38 = 62.
F:M = 38:62 = 19:31.
Since F:M can be different values, insufficient.
The correct answer is
E.
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