1. ## Word Problem

At Bison High School, there are 16 students in English Club,
16 students in Science Club and 20 students in Math Club.
Of these students, there are 5 students in both the English and
Science Clubs; 6 students in both the Science and Math
Clubs; and 8 in both the English and Math Clubs. If only 2
students are in all three clubs, how many students are in at
least one of the clubs?

2. Originally Posted by MATNTRNG
At Bison High School, there are 16 students in English Club,
16 students in Science Club and 20 students in Math Club.
Of these students, there are 5 students in both the English and
Science Clubs; 6 students in both the Science and Math
Clubs; and 8 in both the English and Math Clubs. If only 2
students are in all three clubs, how many students are in at
least one of the clubs?
are you familiar with Venn diagrams?

3. i am but i still cannot put this one together

4. Originally Posted by MATNTRNG
i am but i still cannot put this one together
Let e = english only; m = math only; s = science only

Let x be number in english and science but not math

Let y be english and math but not science

Let z be science and math but not english

x+2= 5 so x = 3

z+2= 6 so z=4

y+2 = 8 so y = 6

16=x+y+2+e

20=y+z+2+m

16=x+z+2+s

Can you figure out the rest from here?

5. Originally Posted by MATNTRNG
i am but i still cannot put this one together
start with the 2 students in all three clubs and work inside out ...