A club has <100 members. To nearest whole number 28% of the members are former committee. 29% are current
committee, 42% have never been on the committee. Again to nearest whole number, 36% of former committe are
women and the number of women in former committe are 10) Find the total members?
Answers
Given : A club has <100 members.
To nearest whole number 28% of the members are former committee. 29% are current committee,42% have never been on the committee. Again to nearest whole number, 36% of former committe are
women and the number of women in former committe are 10.
To Find : the total members
Solution:
Let say Members = M
28% of the members are former committee = 0.28M
Nearest whole number = K
36% of former committe are women and the number of women in former committe are 10.
=> 9.5 ≤ (36/100)K < 1 0.5
=> 950 ≤ 36K < 1050
=> 26.4 ≤ K < 29.16
=> K can be 27 or 28
26.5 ≤ 0.28M < 28.5
=> 2650 ≤ 28M < 2850
=> 94.6 ≤ M < 101.8
=> M can be 95 to 99 as members are less than 100
28% 29% 42% Total
95 26.6 27.55 39.9
27 28 40 95 Whole number
96 26.88 27.84 40.32
27 28 40 95 Whole number
97 27.16 28.13 40.74
27 28 41 96 Whole number
98 27.44 28.42 41.16
27 28 41 96 Whole number
99 27.72 28.71 41.58
28 29 42 99 Whole number
Total Members can be 95 or 99
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