The following table represents data about the number of families residing in buildings A and B of the pink apartment for different years. The table also represents the the number of families with less than 4 members and the number of families with more than 6 members as a percentage of a total number of families in both buildings combined.
Use the data provided in the table above to answer the FOUR questions that follow:
If no family in a pink apartment had more than eight and less than two members, what is the highest number of people that could have been living Pink apartment for the year 2018?
(Assume that only the families mentioned in the table are present in the apartment).
Solution
In 2018, there were a total of 65+55 = 120 members living in pink apartments in the year 2018
Of these, 12 families had less than four members. To maximize the number of people, we can take all these families and make them all have three members, giving 36 people.
36 had more than 6 people; to maximize the number of people, we can take them all and make them each have eight members, giving 288 members.
The remaining 72 families can have six members each, giving 432 members.
This would give the total number of members in the society to be 756
Therefore, Option A is the correct answer.
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