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

In any diagram where categories are drawn as overlapping shapes (a triangle, a circle, and a rectangle here), the region that belongs "only" to one category is whatever part of that category's shape lies outside every other shape's boundary. When another shape's outline cuts across the same category's shape more than once, the "only" region for that category is not always a single connected patch — it can be split into two or more separate pieces on the diagram, and every one of those pieces must be added together to get the correct "only" count.

Applying this to the diagram:

1. The circle is the shape drawn for people who take coffee, so "only coffee" means the part of the circle that falls outside both the tea triangle and the wine rectangle.

2. Tracing the circle's outline, one region sits above the wine rectangle and outside the triangle — marked 25 on the diagram.

3. Because the triangle's slanted side cuts back across the circle again lower down, the circle has a second area below the wine rectangle band that also lies outside the triangle — marked 20.

4. These two labelled regions (25 and 20) are the only parts of the circle that avoid both the triangle and the rectangle, so adding them gives the count of people who take only coffee: 25 + 20 = 45.

Cross-check: the circle's total (everyone who takes coffee, including overlaps) is 25 + 15 + 7 + 30 + 20 = 97. Removing the three sub-regions where coffee overlaps with another category — 15 (all three categories together), 7 (tea and coffee only), and 30 (coffee and wine only) — leaves 97 − 15 − 7 − 30 = 45, the same result.

So the number of people who take only coffee is 45.