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 population of any other district. What is the minimum possible population that the least populated district could have?
(A) 10,700
(B) 10,800
(C) 10,900
(D) 11,000
(E) 11,100
答案:D
Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x + y + z gallons of a 1.5 percent grade, what is x in terms of y and z ?
(A) y + 3z
(B)
(C) 2y + 3z
(D) 3y + z
(E)
ans:A
第一题求人数最少选区的最小值,由于是最小值,因此另外10个区应该为该区的
1.1倍。
X+1.1X*10=132000 X=11000
第二题,(x*1%+y*2%+z*3%)/(x+y+z)=1.5% 可得x=y+3z
1.1x+x+9y=13200
设x为最小区域的人口数。需要x取最小,则y取最大。y=1.1x
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