The shares are 9 : 8 : 1, so 18 units in all. The largest share (9 units) is $216.

Child A111111111Child B11111111Child C1$216

Plain numbers are given; italic underlined numbers are worked out.

  1. Largest → 9 units → $216
  2. 1 unit → $216 ÷ 9 = $24
  3. Total → 18 units = 18 × $24 = $432

The money being shared was $432.

Check: $216 + $192 + $24 = $432; shares 9 : 8 : 1. ✓