SOLUTION: In a certain village, the ratio between adult men and adult women is 2 : 3 and the ratio between adult women and children is 8 : 1. What is the ratio between adults (men and wome

Algebra ->  Proportions -> SOLUTION: In a certain village, the ratio between adult men and adult women is 2 : 3 and the ratio between adult women and children is 8 : 1. What is the ratio between adults (men and wome      Log On


   



Question 1070224: In a certain village, the ratio between adult men and adult women is 2 : 3 and the ratio
between adult women and children is 8 : 1. What is the ratio between adults (men and
women) and children?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
MEN  :  WOMEN  :  CHILDREN
2    :    3    :
     :    8    :    1

A linkage is apparent within the "women". Try finishing top row using 3%2F8%7D%7D+and+bottom+row+using++%7B%7B%7B8%2F3.
MEN       :  WOMEN      :  CHILDREN
2         :    3        :    3%2F8
2%2A%288%2F3%29     :    8    :    1


Only ONE of the rows is needed. Using just the top row,
MEN    :    WOMEN    :    CHILDREN
 2           3              3%2F8

and to keep all parts as whole numbers, multiply each of the three parts by 8:

THE THREE PART RATIO
--------------------------------------
MEN   :  WOMEN   :  CHILDREN
 16   :   24     :     3
--------------------------------------

Ratio of adult men to children is 16 : 3.

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
In a certain village, the ratio between adult men and adult women is 2 : 3 and the ratio
between adult women and children is 8 : 1. What is the ratio between adults (men and
women) and children?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We are given  M%2FW = 2%2F3  and  W%2FC = 8%2F1.


We problem asks about the ratio  %28M%2BW%29%2FC.


This ratio is  %28M+%2B+W%29%2FC = M%2FC + W%2FC = %28M%2FW%29%2A%28W%2FC%29+%2B+8 = %282%2F3%29%2A8+%2B+8 = 16%2F3+%2B+8 = 16%2F3+%2B+24%2F3 = 40%2F3 = 13 1%2F3.

Solved.   The only skill that is needed to solve it is the ability to freely operate with fractions.