pradeepsarathy wrote:When we are dealing with ratios, we are actually diving the quantity of two entities -
For ex - Ratio of number of women to children is 5:2 implies, the total number of women divided by total number of children resolves to the fraction 5/2.
Total No. of women can be - 5, 10, 15, 20, 25, 30 ....
Total No. of children can be - 2, 4, 6, 8, 10, 12, ....
Each pair,respectively resolves to the ratio 5:2 (Eg - 30/12 can be simplified to 5/2)
Hence whenever ratios are mentioned, the total number of that particular entity is assumed to be some multiple, generally 'x'.
So in this case total number of women is 5x and total number of children is 2x.
To answer the second part of the question -
We are give w:c = 5:2 and c:m = 5:11
The quantity 'c' is the common connector between 'w' and 'm'.In order to have common relationship among w,c and m, we need to make sure that 'm' and 'w' relate to same quantity of 'c'.
multiplying 'w' by 5 and 'c' by 5 gives us w:c = 25:10
similarly multiplying 'c' by 2 and 'm' by 2 gives us c:m = 10:22
Now we can relate all the three quantities, w:c:m = 25:10:22
According to this relation -
Total numebr of Women = 25x
Total number of Children = 10x
Total number of Men = 22X
Hope my explanation is clear.
Thank you so much for your explanation. I only miss how we will find the number of men from this:
In this stem, i think we should consider the common factor an integer, coz for any real number, the number of women, children, and men will be a fraction, which is logically not possible.
Hence x < 1.2 yeilds x = 1.
Note: x cannot be -ve either, since we are dealing with a quantity.
