The problem looks like this:
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee. According to the Venn diagram below, how many like:
a) Cream?
b) Sugar?
c) Sugar but not cream?
d) Cream but not sugar?
e) Cream and sugar?
f) Cream or sugar?
g) Black (no cream, no sugar)?
Also, the Venn Diagram picture is attached. In the "Cream" section of the Venn diagram, it states that there are 16 coffee drinkers who like cream. There are 35 for sugar, and in the overlap area there are 20.
How do I solve these problems? Am I over-thinking it?
c) 55 (sugar but not cream I assume means the overlap and the sugar section added together)
d) 36 (cream but not sugar I assume means the overlap and the cream section added together)
e)20 (I assume cream or sugar means just the overlap)
I'll be back in about 3 and a half hours if someone wants to continue to help me.
This cannot be right for two reasons. First, I said that no arithmetic is necessary. Second, the overlap represents those who like both cream and sugar; in particular, they like cream. And here you are asked about those who like sugar but not cream!.
Wrong for the same reasons.
Correct.
Yes.
Your answers in post #3 are in fact answers to b) and a). (Why?) For f), note that the three areas in the picture are disjoint, i.e., no person belongs to two groups simultaneously. This means that to find the number of people in all three groups you just need to add the numbers. Finally, that sum is going to be less than 100, and the rest like their coffee black.