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minimum pop for least populated would be 1 village with exacly 10% less than all the rest.
backsolve.
B) 10.800 + 10% = 11.880
11.880*10+10.800 = 118.800+10.800 = 129.600, not the same total, wrong
D)11.000 + 10% = 12.100
12.100*10+11.000 = 121.000+11.000 = 132.000, same as total, D is the answer
in backsolving there are many strategies, i always try (if the result sets are ordered, which they usually are) first B, if the result is larger than expected A is the answer (always confirm), if the result is less than expected try D, aplly the same reasoning untill you find the answer.
backsolve.
B) 10.800 + 10% = 11.880
11.880*10+10.800 = 118.800+10.800 = 129.600, not the same total, wrong
D)11.000 + 10% = 12.100
12.100*10+11.000 = 121.000+11.000 = 132.000, same as total, D is the answer
in backsolving there are many strategies, i always try (if the result sets are ordered, which they usually are) first B, if the result is larger than expected A is the answer (always confirm), if the result is less than expected try D, aplly the same reasoning untill you find the answer.