Question

A committee has 6 members who have decided on how many votes each should get, but not on the quota to be used for the system. The system so far is [q : 6, 4, 4, 3, 2, 1 ].
a. What value of q would represent a simple majority?
b. What value of q would represent a two-thirds majority?

Answer 1

Answer with explanation:

→Total number of people in the committee=6

→Number of votes in the system represented by q ,

      =6+ 4+4+ 3+ 2+ 1=20

a.→Value of q would represent a simple majority if , q>10 that is it would be greater than 50% of votes, means 11 votes.

b.→Value of q that would represent two-thirds majority

        $=\frac{2}{3}\times 20\\\\=\frac{40}{3}\\\\=13.33$

Approximately 14 votes.