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(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

Guest May 29, 2018
 #1
avatar+561 
+1

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

 

total number of members is 236

 

8)

OfficialBubbleTanks  May 29, 2018
 #2
avatar+12510 
+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)

ElectricPavlov  May 29, 2018
 #3
avatar+86859 
+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

 

 

 

cool cool cool

CPhill  May 29, 2018

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