Sunday, October 2, 2011

P5 ratio

(Contributed by Mrs Chin-Toh)

My solution:

Men : Total
  1u  :   3u
  -3       +3
--------------
   1   :   4

I would multiply the whole branch of "Men" by 4 to match with the branch of "Total":

4u - 12 = 3u + 3

Manipulating the "u" to LHS and numbers to RHS:

4u - 3u = 3 + 12
    1u    =  15

Assumption: there are only men and women in the bus, no children!
(a)  number of women at first, 2u --> 2x15 = 30
(b)  Altogether, 3u --> 3x15 = 45