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

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