Study the diagram given below and answer each of the following questions. How…

In a three-set Venn diagram, every enclosed shape stands for one category, and each distinct bounded area inside it — whether shared with one, two, or all of the other shapes — is still part of that category's total. So the total for any one shape equals the sum of every numbered region lying inside that shape's boundary, no matter how many other shapes it also overlaps there.

1. Identify the boundary for "wine": the rectangle. List every region whose area lies inside the rectangle, reading left to right: 20 (rectangle only), 17 (triangle and rectangle), 15 (triangle, circle and rectangle together), 30 (circle and rectangle), 40 (rectangle only).

2. Add every one of those five regions together, since each lies inside the rectangle and therefore counts toward wine, regardless of the triangle/circle overlap: 20 + 17 + 15 + 30 + 40.

3. 20 + 17 = 37; 37 + 15 = 52; 52 + 30 = 82; 82 + 40 = 122.

Cross-check by pairing the two rectangle-only corners with the two overlap pairs and the triple overlap separately: (20 + 40) + (17 + 30) + 15 = 60 + 47 + 15 = 122 — the same total, confirming no region was missed or double counted.

So 122 persons take wine.