GRE数学加权平均问题讲解

时间:2016-06-21 16:43:12  / 编辑:liliang
   下面,一诺留学小编为大家带来的是GRE数学加权平均问题讲解,希望对大家复习GRE数学知识有一定的帮助。

  GRE数学加权平均问题介绍

  The formula for determining the average (A) of a series of terms (numbers) is:

  A = (a+b+c+…)/n

  where n equals the number of terms (numbers in the series). When some numbers among the terms to be averaged are given greater “weight” than others, however, basic formula to find the average.

  GRE数学加权平均问题实例讲解

  1. Three salespeople are paid commissions in proportion to the amount of their sales, which total $25, 000,$40, 000,and $60, 000, respectively. If a total of $20, 000 is allocated for these three commission, what is the amount of the largest commission paid?

  (A) $8,000

  (B) $8,400

  (C) $9,600

  (D) $10,000

  (E) $12,000

  付给3名推销员的佣金与他们的销售额成正比,他们各自总的销售额分别为25000美元,40000美元和60000美元,若共拨出20000美元作为3人的佣金,问最大的佣金额是多少钱?

  解:本题的正确答案是(C)。设最大佣金额为x 美元,由题意可以得到下面的比例式:

  60000/(25000+40000 + 60000 20000)=x/20000,所以x=9600。

  2. Tom’s average monthly salary for the first four months that he worked was $ 4000. What must his average monthly salary be for each of the next eight months, so that his average monthly salary for the year is $ 4, 800?

  解:The $ 3,000 salary receives a weight of 4, while the unknown salary receives a weight of 8, if x represents the unknown salary, then we can approach this problem in strict algebraic fashion:

  (4(4000)+8x)/12=4800,所以可以得出x= 5200

  Tom’s salary for each of the next eight months must be $ 5200 for Tom to earn an average of $ 4,800 a month during the entire 12 months.

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