bhumika.k.shah wrote:Each of the students in a certain class received a single grade of P, F, or I. what percent of the students in the class were females?
1. of those who received a p, 40% were females
2. of those who received either an I or I, 80% were males.
We are given that each of the students in a certain class received a single grade of P, F, or I. We can let p = the number of students who received P, f = the number of students who received F, and i = the number of students who received I. Thus, the total number of students in the class is p + f + i. We need to determine the percentage of students who were females.
Statement One Alone:
Of those who received a P, 40 percent were females.
This means 0.4p students are females. However, since we know neither the values of p, f, and i nor the percentage of students who received an F or I, statement one alone is not sufficient to answer the question.
Statement Two Alone:
Of those who received either an F or I, 80 percent were males.
This means 20 percent of the students who received either an F or I were females. In other words, 0.2(f + i) students are females. However, since we know neither the values of p, f, and i nor the percentage of students who received a P, statement two alone is not sufficient to answer the question.
Statements One and Two Together:
From the two statements, we can say that the percentage of students in the class who were females is:
(0.4p + 0.2(f + i))/(p + f + i) x 100
However, since we don't know the values of p, f, and i, we can't determine the numerical value of the expression above. Statements one and two together are still not sufficient.
Answer:
E
