Answer:
109 students like Reese's Peanut Butter Cups or Snickers, but not Twix.
Step-by-step explanation:
To solve this problem, we must build the Venn's Diagram of this set.
I am going to say that:
-The set A represents the students that like Snickers.
-The set B represents the students that like Twix.
-The set C represents the students that like Reese's Peanut Butter.
We have that:
In which a is the number of student that only like Snickers, is the number of students that like both Snickers and Twix,
is the number of students that like both Reese's and Snickers. And
is the number of students that like all these flavors.
By the same logic, we have:
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?
This are those who like any of these two or both. So:
We start finding the values from the intersection of three sets.
19 like all three kinds of chocolate candy. This means that
31 like Snickers and Reese's Peanut Butter Cups: This means that
82 like Twix and Reese's Peanut Butter Cups
70 like Snickers and Twix
134 like Reese's Peanut Butter Cups
149 like Snickers
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?
109 students like Reese's Peanut Butter Cups or Snickers, but not Twix.