+0

0
841
3

(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

May 29, 2018

#1
+1

ratio of men:women is 132:80 or 33:20

total number of members is 236

8)

May 29, 2018
#2
+2

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)

May 29, 2018
#3
+2

(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   May 29, 2018