There are 450 people in a society who like three different types of foods: X, Y, and Z. The ratio of the number of people who like only food X, only f...

Question

There are 450 people in a society who like three different types of foods: X, Y, and Z. The ratio of the number of people who like only food X, only food Y, and only food Z is 5 : 7 : 3 respectively. The number of people who like all three foods is 50% of the number of people who like only food Y. The total number of people who like only food Y & food Z combined with those who like only food X & food Y is 50. The number of people who like only food X & food Z is 30.
What is the difference between the number of people who like only food Y and the number of people who like only food X & food Y?

Options

A.

21

B.

26

C.

19

D.

Can’t be determined

E.

none

venn diagramset theorylogical reasoningratiodata interpretation

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