melguy wrote:The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 6 homes?
A. $200,000
B. $210,000
C. $215,000
D. $220,000
E. $230,000
The 5 homes sold for $200 each do not affect the average, since these homes are sold for the average selling price.
Our concern:
The average selling price of THE OTHER 10 HOMES must be $200.
Required sum for the other 10 homes = (number)(average) = 10*200 = 2000.
Sum of the 4 homes sold for $170 each = (number)(average) = 4*170 = 680.
Sum of the remaining 6 homes = 2000-680 = 1320.
Average for the remaining 6 homes = sum/number = 1320/6 = 220.
The correct answer is
D.
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