Question

For Problems 4–6, use the Venn diagram to the right. 4. people liked vanilla only. vanilla 8 5. people liked chocolate only. 4 6. people liked both. chocolate 7.

Answer 1

a) Vanila only = 4

b) Chocolate only = 3

c) both= 4

Explanation:

In the circle named vanilla, the number written = 8

This means the number of people that liked vanilla is 8

To know the number of people that liked vanilla only, we need to subtract the number of people that like both vanilla and chocolate from the number of people that liked vanilla.

the number of people that like both vanilla and chocolate = 4

$\begin{gathered} \text{Vanilla only = 8-4} \\ \text{Vanilla only = 4} \end{gathered}$

The number of people that liked chocolate only is the difference between number of people that like chocolate and the the number of people that like both vanilla and chocolate

The number of people that liked chocolate = 7

$\begin{gathered} \text{Chocolate only = 7 - 4} \\ \text{Chocolate only = 3} \end{gathered}$

The number of people that liked both can be seen in venn diagram at the intersection of vanilla and chocolate.

The number of people that liked both = 4