Of the 85 people who ordered fudge, 32 also ordered sprinkles, and so 85−32=53 people ordered fudge without
sprinkles.
Of the 60 people who ordered
sprinkles, 32 also ordered fudge,
and so 60−32=28 people ordered
sprinkles without fudge.
Therefore, 53 people ordered fudge
only, 28 ordered sprinkles only,
and 32 ordered both fudge and
sprinkles.
Of the 200 people who bought ice
cream, the number of people who ordered neither fudge nor sprinkles was
200−53−28−32=87.
We can represent the given information in a Venn diagram, as shown
below.