Question

There are 76 people protesting the destruction of rainforests. There are 32 males, 22 of whom are students, and 18 female non-students. How many female students are protesting? **note; let the universal set U be the set of all protesters. Use the information provided to create a Venn diagram containing 2 subsets. Let M be the # of males and S be the # of students. **

Answer 1

26 female students

Step-by-step explanation:

Let U be the set of all protesters, such that n(U) = 76

Number of male protesters n(M) = 32

If 22 of the males are students, males that are non-student will be (32-22) = 10

The number of female protesters is n(F)

Represent using the Venn diagram

where y is the total number of female students

Get the total number of females

Number of female protesters = 76 - number of male protesters

Number of female protesters = 76 - 32

Number of female protesters = 44

Female protesters = female students + non-female students

44 = female students + 18

44 = y + 18

y = 44 - 18

y = 26

This shows that 26 female students are protesting