连做三套PREP模考死活要把数学51做出来!!可是三套全都是50.。。难道这就是我的真实水平嘛。。。不甘。。。为啥觉得PREP的数学还有挺有难度的的?实战比这个简单还是难呢?呜呜。。明天就要考了。。如果数学不上51,很难770的呀~~~ 废话少说,上题! a certain city with a population of 132,000 is to be divided into 11voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What’s the minimum possible population that the least populated district could have? 答案是11000。 -- by 会员 rainzyx23 (2011/6/7 9:46:06)
假设11个区从小到大排列为a1,a2,a3,...a11 即a1<=a2<=...<=a11 那么按照题意,a11<=a1(1+10%) 同理a10,a9,...a2<=a1(1+10%) 不等式左边右边分别相加为 a2+a3+...+a11<=a1(1+10%)*10 a1+a2+...+a11=132000 所以 132000-a1<=11a1 a1>=11000 |