Answer:
See attachment.
Step-by-step explanation:
A Venn diagram is a graphical representation that uses overlapping circles to illustrate the relationships between different sets.
Begin by drawing a rectangle to represent the universal set, ξ.
Within the universal set (all passengers), we have two sets:
Draw two overlapping circles labeled B and C. The overlapping section of the two circles represents child passengers who are in business class.
Given that 4 of the passengers in business class are children, place 4 in the overlapping section of the two circles.
As there is a total of 15 passengers in business class, the number to place in the part of circle B that is not overlapping circle C can be found by subtracting the number of passengers in business class who are children (4) from the total number of business class passengers (15):
15 - 4 = 11
So we place 11 in the part of circle B that is not overlapping circle C.
Since there are 125 passengers on the plane, the number of passengers not in business class can be found by subtracting the number of passengers in business class from the total:
Passengers not in business class = 125 - 15 = 110
Given that 1/5 of these passengers are children, then:
Number of children not in business class = 110/5 = 22
Place 22 in the section of circle C that does not overlap with circle B.
The total number of passengers who are either in business class, children, or both is the sum of the numbers inside the circles:
11 + 4 + 22 = 37
As there are 125 passengers on the plane, we can determine the number of passengers who are neither in business class nor children by subtracting 37 from 125:
125 - 37 = 88
Therefore, we can place 88 inside the part of the rectangle that is outside the circles, representing passengers who are neither in business class nor children.
