The country of Mathlandia is holding its presidential election this week. There are three candidates (A, B, C), and each eligible voter can vote for two of them. The candidate with the most total votes wins the election. Here is a summary of the results:
Half of the eligible voters vote for candidate A, and divide their second vote among B and C in the ratio of 6:3.
Half of the other eligible voters cast their vote for candidate B, and divide their second vote between A and C in the ratio of 1:4.
Two-thirds of the remaining eligible voters vote for C and divide their second vote between A and B in the ratio of 1:1.
540 of the eligible voters do not vote at all.
Questions:
How many votes does each candidate receive?
How many eligible voters are there in Mathlandia?