Venn Diagram Mathematics 7

1. Venn Diagram

2. SOLVING PROBLEMS USING VENN DIAGRAM
A group of 25 high school students were asked whether they use either
Facebook or Twitter or both. Fifteen (15) of these students use Facebook
and twelve (12) use Twitter.
a. How many use Facebook only?
b. How many use Twitter only?
c. How many use both social networking sites?
SOLUTION:
Let S1 = set of students who use Facebook only
S2 = set of students who use both social networking sites
S3 = set of students who use Twitter only

3. To find number of students who use
Facebook only: (S1)
n(S1) + n( S2) + n(S3) = 25
n( S2) + n(S3) = 12
__________________________
n(S1) = 13
A group of 25 high school students were asked whether they use either
Facebook or Twitter or both. Fifteen (15) of these students use Facebook
and twelve (12) use Twitter.
a. How many use Facebook only?
b. How many use Twitter only?
c. How many use both social networking sites?
13 students

4. To find number of students who use
Twitter only: (S3)
n(S1) + n( S2) + n(S3) = 25
n(S1) + n( S2) = 15
__________________________
n(S3) = 10
A group of 25 high school students were asked whether they use either
Facebook or Twitter or both. Fifteen (15) of these students use Facebook
and twelve (12) use Twitter.
a. How many use Facebook only?
b. How many use Twitter only?
c. How many use both social networking sites?
13 students
10 students

5. A group of 25 high school students were asked whether they use either
Facebook or Twitter or both. Fifteen (15) of these students use Facebook
and twelve (12) use Twitter.
a. How many use Facebook only?
b. How many use Twitter only?
c. How many use both social networking sites?
13 students
10 students
To find the number of students who use both FB and
Twitter; ( S2 )
Total number of students – ( FB user only + Twitter
user only )
25 – ( 13 + 10 )
25 – 23
Answer: S2 = 2 (use both FB and Twitter )
2 students

6. A group of 25 high school students were asked whether they use either
Facebook or Twitter or both. Fifteen (15) of these students use Facebook
and twelve (12) use Twitter.
a. How many use Facebook only?
b. How many use Twitter only?
c. How many use both social networking sites?
13 students
10 students
2 students
10
13
2

7. LEARNING TASK 3. REAL LIFE SITUATION
Using a Venn diagram, write down at least 10 of your favorite food and 2
of your family members’ favorite food, then answer the following
questions:
1. What are your similarities?
2. What are the distinct favorite food among each of you?
3. From whom did you get more of similar favorite food?
Let A = you (ikaw)
B = first family member (Mother)
C = second family member (Father)

8. A = {egg, cake, hotdog, chicken, orange, avocado, siomai, okra, potato, ice cream}
B = {okra, spinach, orange, fish, apple, guava, avocado, atis, halo-halo, siopao}
C = {siopao, siomai, fish, pork, atis, okra, egg, orange, noodles, banana}
Cake Chicken
Ice cream
Potato
Hotdog
Halo-Halo
Apple
Spinach
Guava
Avocado
Okra
Orange
Siopao
Fish
Atis
Egg
Siomai
Pork Noodles Banana
(YOU) (MOM)
(DAD)

9. Cake Chicken
Ice cream
Potato
Hotdog
Halo-Halo
Apple
Spinach
Guava
Avocado
Okra
Orange
Siopao
Fish Atis
Egg
Siomai
Pork Noodles Banana
1. Our similarities are okra and
orange.
2. My distinct foods are cake,
ice cream, potato, chicken, and hotdog.
My mother’s distinct foods are
halo – halo, apple, spinach and guava.
My father’s distinct foods are pork,
noodles and banana.
3. From my dad since we have 4
similar favorite foods which are egg,
siomai, okra and orange.