FDPs

Hi Ad,
I plugged a number for the total voters last year and then formed an equation.
1. Plug 200 for the no. of voters in the 1st year
2. X for party A, (200-X) for party B
3. This year there are 216 voters (8% increase)
4. The equation after taking into account the increase in voters for each party is:
1.1X+1.05(200-X)=216
5. The fraction of voters for party A this year is 1.1X/216
6. Solve (4) and you'll get 11/18 after reducing the fraction.

I hope this helped,
Cheers

Let a & b represent the number of votes received last year.

Therefore, the votes received this year becomes:

1.1a and 1.05b

Since the total votes this year increased by 8%, we get -

1.1a + 1.05b = 1.08(a+b)

Simplifying this, we get -

0.02a = 0.03b => 2a = 3b => b = 2a/3

The required fraction (for this year) would be -

1.1a/1.08*(a+b)

Replace the b = 2a/3 in the above equation. We get -

1.1a/1.08(a + 2a/3) => 1.1a/1.8a = 11/18 Answer.

Thanks folks. The explanation helped