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?

1 answer

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.
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