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?
Unfortunately, as an AI language model, I am unable to draw diagrams. However, I can provide the solution to the problem.
To find out how many students used Instagram or Twitter, we need to add the number of students who used only Instagram, the number of students who used only Twitter, and the number of students who used both Instagram and Twitter.
Let's start by filling in the middle section of the Venn diagram with the information given:
34 students used both Instagram and Twitter
Now we can fill in the sections for Instagram and Twitter separately:
68 - 34 = 34 students used only Instagram
58 - 34 = 24 students used only Twitter
Finally, we can add these three numbers together:
34 + 34 + 24 = 92 students used Instagram or Twitter.
To determine how many students used Instagram or Twitter, we can start by drawing a Venn diagram based on the given information.
Let's label the number of students who used Instagram as "I", the number of students who used Twitter as "T," and the number of students who used Facebook as "F."
Now we can place the given information into the Venn diagram:
- We know that 68 students used Instagram, which means I = 68.
- We know that 58 students used Twitter, which means T = 58.
- We know that 75 students used Facebook, which means F = 75.
- We know that 34 students used Instagram and Twitter, which means the overlapping region between Instagram and Twitter (denoted as IT) is 34.
- We know that 38 students used Twitter and Facebook, which means the overlapping region between Twitter and Facebook (denoted as TF) is 38.
- We know that 45 students used Instagram and Facebook, which means the overlapping region between Instagram and Facebook (denoted as IF) is 45.
- We know that 22 students used all three platforms, which means the region where all three circles intersect (denoted as ITF) is 22.
Now let's draw the Venn diagram with these values:
____ _______
| |
| IF |
|_____|
/ \
_______
| | | |
| IT | | TF |
|_____|
\ /
| ITF |
|_____|
Based on the Venn diagram, to find the number of students who used Instagram or Twitter, we need to add the number of students in the circles labeled I and T but exclude the students in the overlap region IT.
Therefore, the number of students who used Instagram or Twitter is: I + T - IT.
Plugging in the given values:
68 + 58 - 34 = 92.
So, 92 students in total used either Instagram or Twitter.