At a certain university, 60% of the professors are women, and

70% of the professors are tenured. If 90% of the professors

are women, tenured, or both, then what percent of the men are tenured?

@prahladbajagain

let us assume total professors=100

then, woman=60 (given in qustion)

tenured professors=70 (given in qustion)

total (“women” + “tenured” + “womentenured”)=90 (given in qustion)

total=g1+g2-both i.e 90=60+70-both(womentenured) i.e b=40.

now make matrix like this

% of men tenured is tenuredmen / total men i.e 30/40=3/4 or 75%