(c) For the members of the golf club the ratio men : children = 11 : 2
The ratio women : children = 10 : 3.
(i) Find the ratio men : women
(ii) The golf club has 24 members who are children
Find the total number of members
ratio of men:women is 132:80 or 33:20
total number of members is 236
8)
M/C = 11/2
W/C = 10/3
M/C / W/C = M/C * C/W = M/W
= 11/2 * 3/10 = 33/20 = M/W
M/C * C = M
11/2 * 24 = 132 Males
W/C * C = W
10/3 * 24 = 80 Women
M + W + C = total members = 132 + 80 + 24 = 236 members ( Just as OBT posted)
(i)
If the ratio of men : children = 11 : 2.....then
men / children = 11 / 2 = 33 / 6
And if the ratio of women to children is 10 : 3.....then
women / children = 10 / 3 = 20 / 6
So....the ratio of men to women must be 33 : 20
(ii) If there are 24 children....then the number of men, M, is 11/2 = M/24 ...cross-multiply
24*11 = 2 * M divide both sides by 2
12 * 11 = M = 132
And to find the number of women,W,, we have
10 / 3 = W / 24 .... cross-multiply
24 * 10 = 3 * W divide both sides by 3
8 * 10 = W = 80
So...the otal number of members is 24 + 132 + 80 = 236