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 lowest number of people that could have been living Pink apartment for the year 2021?
(Assume that only the families mentioned in the table are present in the apartment).
Solution
In 2021, there were a total of 140 families in pink apartments.
15% of these, that is, 21 families, had less than four members
10%, that is 14, had more than six members.
we want to find the minimum number of people possible in the apartment
We can assume that 21 families below the four-member mark have two members each, giving 42 people.
The 14 families above the six-member mark have 7-seven members each, giving 98 people.
And the remaining families: 140-21-14 = 105, had four members each, giving 420 people.
The total number of family members would hence be: 420+92+48 = 560
Therefore, Option C is the correct answer.
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