Currently, y percent of the members on the finance committee are women and next month, z percent of the men on the finance committee will resign. If no other personnel changes occur, then after the resignations next month, the men who remain on the finance committee will represent what percent of the total finance committee members?
A. 100(100−z)(100−y)1002−z(100−y)100(1 00−z)(100−y)1002−z(100−y)
B. (100−z)(100−y)100(100−z)(100−y)100< br /> C. (100−z)(100−y)(100−z)(100−y)
D. zy100−zzy100−z
E. z(100−y)100

A. 100(100−z)(100−y)100−z(100−y)100(100−z)(100−y)1002−z(100−y)

Explanation:

Solution

F = yx/100 M = (100-y)x/100

Males left after retirement = ((100-z)/100)*((100-y)x/100)

=x*(100-z)(100-y)/1002

That's the total number of males

the total number of people is:

yx/100 + x*(100-z)(100-y)/1002

(100-z)(100-y)/(1002 - z(100-y))

And denominator 100y + (100-z)(100-y)

= (100)(100 – z)(100 – y) / 1002 – z(100 – y) as our answer

Option a is the closest answer in the option

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