Calculate non-voters for Town B

Total voters in B is 13500. Non-voters are 20% of 13500.

$\text{Non-voters} = 13500 \times 0.20 = 2700$

Split non-voters by gender

Given ratio of male to female non-voters is 5:4. Sum of ratio parts = 9.

$\text{Male non-voters} = \frac{5}{9} \times 2700 = 1500, \quad \text{Female non-voters} = \frac{4}{9} \times 2700 = 1200$

Calculate voters and gender distribution

Voters = 13500 - 2700 = 10800. Females voting = 45% of 10800. Males voting = 55% of 10800.

$\text{Female voters} = 0.45 \times 10800 = 4860, \quad \text{Male voters} = 0.55 \times 10800 = 5940$

Calculate total males and females

Sum the gender counts from both voting and non-voting categories.

$\text{Total Male} = 5940 + 1500 = 7440, \quad \text{Total Female} = 4860 + 1200 = 6060$

Determine final ratio

Find the ratio $7440: 6060$ by dividing both by 60.

$\frac{7440}{60}: \frac{6060}{60} = 124: 101$