A survey of 108 students determined that
• 68 used Instagram
• 58 used Twitter
• 75 used Facebook
• 34 used Instagram and Tweeter
• 38 used Twitter and Facebook
• 45 used Instagram and Facebook
• 22 used all three
Draw your own Venn Diagram that will help you answer: How many students used
Instagram or Twitter?
Since we want to know how many students used Instagram or Twitter, we need to add the number of students who used Instagram and the number of students who used Twitter, but we must subtract the overlap of students who used both (so we don't count them twice).
Using the information given in the question, we can fill in the Venn Diagram:
[asy]
label("Instagram", (0,-8));
label("Twitter", (20,-8));
label("Facebook", (10,12));
draw(Circle((-5,-4), 9));
draw(Circle((15,-4), 9));
draw(Circle((5,16), 9));
label("$45$",(2,9));
label("$23$",(16,9));
label("$29$",(-2,-12));
label("$9$",(18,-12));
label("$25$",(-8,-4));
label("$9$",(28,-4));
label("$22$",(5,5));
[/asy]
From the diagram, we know that:
- 29 students used only Instagram
- 9 students used only Twitter
- 22 students used both Instagram and Twitter
Therefore, the total number of students who used Instagram or Twitter is:
$$29 + 9 + 22 = \boxed{60}$$
So, 60 students used Instagram or Twitter.
To find out how many students used Instagram or Twitter, we need to determine the total number of students who use each platform separately and then subtract the number of students who use both platforms.
From the given information:
- 68 students use Instagram
- 58 students use Twitter
- 34 students use both Instagram and Twitter (intersection of Instagram and Twitter)
We can now create a Venn diagram to visualize this information:
Instagram (68)
/ \
/ \
(34) (unknown)
/ \
/ \
/ \
/ \
Twitter (unknown) Twitter (58)
Note: The number in parentheses represents the number of students in each region of the Venn diagram.
To find the number of students who use Instagram or Twitter, we need to add the number of students in the Instagram-only region (68 - 34) and the number of students in the Twitter-only region (58 - 34).
So, the number of students who use Instagram or Twitter is (68 - 34) + (58 - 34) = 100 students.
Therefore, 100 students in total use either Instagram or Twitter.