Problem

A survey of 113 high school students determined whether they used Instagram, Twitter, or Facebook. The provid information was determined.
67 used Instagram.
81 used Facebook.
47 used Instagram and Facebook.
23 had all three features.

Complete parts a) through e).
58 used Twitter.
33 used Instagram and Twitter.
41 used Twitter and Facebook.
a) How many of the students surveyed used only Instagram?

Answer

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Answer

Final Answer: The number of students who used only Instagram is \(\boxed{10}\).

Steps

Step 1 :A survey of 113 high school students determined whether they used Instagram, Twitter, or Facebook. The provided information was determined as follows: 67 used Instagram, 81 used Facebook, 47 used Instagram and Facebook, 23 had all three features, 58 used Twitter, 33 used Instagram and Twitter, and 41 used Twitter and Facebook.

Step 2 :The question is asking for the number of students who used only Instagram. This means we need to subtract the number of students who used Instagram and another social media platform from the total number of students who used Instagram.

Step 3 :The total number of students who used Instagram is 67. The number of students who used Instagram and Facebook is 47, and the number of students who used Instagram and Twitter is 33. However, we need to be careful not to double count the students who used all three platforms, which is 23.

Step 4 :So, the number of students who used only Instagram is calculated as follows: \(67 - 47 - 33 + 23\).

Step 5 :After calculating, we find that the number of students who used only Instagram is 10.

Step 6 :Final Answer: The number of students who used only Instagram is \(\boxed{10}\).

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