Mischa is throwing a birthday party for her sister and decides to survey all who are attending on which ice cream flavor they prefer: chocolate, vanilla, strawberry, or a mix. She finds that 8 prefer chocolate, 6 prefer vanilla, 2 prefer strawberry, 14 prefer a mix of the three, and 3 don’t eat ice cream. If you were to draw a Venn diagram of your findings, which number would be located in the intersection of the three flavors?

Question

A. 3
B. 14
C. 6
D. 8

Answer 1

To solve this problem, let's break down the information given:

• Chocolate preferences: 8
• Vanilla preferences: 6
• Strawberry preferences: 2
• Mix of flavors preferences: 14
• Does not eat ice cream: 3

In a Venn diagram representing ice cream preference:

• The intersection of all three flavors (Chocolate, Vanilla, Strawberry) would represent people who like all three flavors.
• The figure 14 refers to those who prefer a mix of the three flavors. This implies that they like at least two or all three of the flavors.

Since 14 is the number of people who prefer a mix (which might include those who also enjoy chocolate, vanilla, and strawberry), it is logical to conclude that this number represents those who might be counted in the intersection of the three flavors as well.

Thus, the number that would be located in the intersection of the three flavors (those who like chocolate, vanilla, and strawberry) would be 14.

So, the answer is B. 14.