The Civic Club (Posted on 2009-02-14)

	Submitted by Charlie
Rating: 2.6667 (3 votes)
Solution:	(Hide)
The club has 92 members, divided according to the table below. The table shows how best to get the anomalous total percentage for a given number of members. However any given distribution can be multiplied for larger numbers, so the higher numbers have no real significance in terms of limiting possibilities. former current never women total in former group 26 27 39 9 92 31 32 46 11 109 37 38 55 13 130 43 44 64 15 151 43 45 65 15 153 46 48 69 16 163 48 50 72 17 170 49 50 73 17 172 49 51 73 17 173 51 52 76 18 179 51 53 76 18 180 52 54 78 18 184 54 56 80 19 190 54 56 81 19 191 55 56 82 19 193 55 57 82 19 194 57 59 85 20 201 60 62 89 21 211 60 62 90 21 212 62 64 92 22 218 63 65 94 22 222 65 67 97 23 229 69 71 103 24 243 DEFDBL A-Z PRINT FOR memb = 4 TO 10000 f = memb * .28 c = memb * .29 n = memb * .42 FOR former = INT(f) TO -INT(-f) FOR current = INT(c) TO -INT(-c) FOR never = INT(n) TO -INT(-n) w = former * .35 FOR women = INT(w) TO -INT(-w) pctF = INT(100 * former / memb + .5) pctC = INT(100 * current / memb + .5) pctN = INT(100 * never / memb + .5) pctW = INT(100 * women / former + .5) IF pctF = 28 AND pctC = 29 AND pctN = 42 AND pctW = 35 THEN IF former + current + never = memb THEN PRINT former; current; never; women, memb END IF END IF NEXT NEXT NEXT NEXT NEXT

	Subject	Author	Date
	Puzzle Thoughts	K Sengupta	2023-09-22 22:15:07
	solution	Dej Mar	2009-02-14 19:39:50