Women = \(\frac{1}{3}\) of total passengers, so Men + Children = \(\frac{2}{3}\) of total.

[[model:questions/solutions/q5396.png]]

• Let Children = 1 unit → Men = 9 units
• Men + Children = 10 units = \(\frac{2}{3}\) of total
• Total = 10 × \(\frac{3}{2}\) = 15 units
• Women = 15 − 10 = 5 units
• Men : Women = 9 : 5

The ratio of the number of men to the number of women is 9 : 5.
Check: 9 + 5 + 1 = 15 units total. Women = 5/15 = 1/3. ✓