119. In a constituency in which each elector may vote for 2
candidates half of the constituency vote for A, but divide their
votes among B, C, D and E in the proportion of 4, 3, 2, 1; half the
remainder vote for B, and divide their votes between C, D, E in
proportion 3, 1, 1; two-thirds of the remainder vote for D and E, and
540 do not vote at all. Find state of poll, and number of electors on
roll.
120. Three men, A, B and C, go into an hotel to have a “free and
easy” on their own account, and after sundry glasses of Dewar’s
Whisky got into dispute as to who had the most cash, and neither
being willing to show his hand, the landlord was called upon to
umpire. He found that A’s money and half of B’s added to one-third of
C’s just came to £32, again that one-third of A’s with one-fourth of
B’s and one-fifth of C’s made up £15, again he found that one-fourth
of A’s together with one-fifth of B’s and one-sixth of C’s totalled
£12. How much had each?
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