9. A country has three political parties, and it allots seats in its 102-seat parliament by the Hare (Hamilton) method proportionately to the number of votes each receives. In a recent election, the Pro-UFO Party received 254,000 votes, the Anti-UFO Party got 153,000 votes, and the Who Cares Party polled 103,000 votes. Show that two of the parties are tied.
9.
The sum of the lower quotas is 100, leaving two seats to be given to the parties with the largest fractions. The fractional parts of the quotas are 0.8, 0.6, and 0.6. Therefore the Anti-UFO and Who Cares parties are tied for the 102nd seat.