Question

A sum of money is divided in ratio 3:5:9 . Calculate the smallest share given that the largest share is $558

Answer 1

First work out the 'multiplier'

3 + 5 + 9 = 17 so Multiplier = 1/17

$558 is the largest share  and that equals  9 * 1/17  of x  where x is the total amount of money

9x / 17 = 558

x = (558 * 17) / 9  =   $1054

So the smallest share  = 3 /17  *  1054 =  $186  Answer