Your teacher surveyed 32 fifth graders. Seventeen students said they liked carrots, and 20 said they liked green beans. Six students said they didn't like either. How many said they liked both vegetables?

The answer to your problem is: 11

Step-by-step explanation: To solve this problem we need to draw a Venn diagram

Data

Population 32 fifth graders

17 students liked carrots

20 students liked green beans

How many said they liked both vegetables

As the population that does not like neither carrots nor green beans, then the population under research is : 32 - 6 = 26

Then 26 is the combination of graders that like only carrots, only beans or both.

And the total of carrots must be 17, the total of beans must be 20, then we combine this numbers in order to get 26

For example:

carrots green beans both total

15 18 2 35 wrong

10 13 7 30 wrong

8 11 9 28 wrong

7 10 10 27 wrong

6 9 11 26 right