prep一道数学题 蒙出来了 不知道正轨怎么做

orangerecord

A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the pupulation of any other distict. What is the minimum possible population that the least pupulated district could have?

A.10700
B. 10800
C. 10900
d.11000
E. 11100

garlicwu

不是 x + 10*(1+10%)*x=132000 算出来的吗，11000

Jae230

这个题我是算的范围：

总共132000，分成11份，如果是平均分配的话每份是12000
假设12000是最大的，那么min*1.1=12000---> min=10909
但实际上max肯定>12000，所以min>10909
由此可得  D

当然，同样可以算出Max