https://file.aiquickdraw.com/mathbot/file/17273198644616se929dd.jpg

Let's solve the first part of the problem step by step using the information provided.

The total number of students surveyed is 116, and the problem gives the following details:

- 71 used Instagram.
- 60 used Twitter.
- 75 used Facebook.
- 35 used both Instagram and Twitter.
- 43 used both Instagram and Facebook.
- 40 used both Twitter and Facebook.
- 21 used all three platforms (Instagram, Twitter, and Facebook).

We need to find how many students used **only Instagram**.

### Steps:
1. **Total students using Instagram** = 71
2. **Students using Instagram and Twitter** = 35
3. **Students using Instagram and Facebook** = 43
4. **Students using all three platforms (Instagram, Twitter, and Facebook)** = 21

To find the number of students using **only Instagram**, we subtract those who also used other platforms:

- Students who used Instagram and Twitter, but not Facebook: \(35 - 21 = 14\)
- Students who used Instagram and Facebook, but not Twitter: \(43 - 21 = 22\)
- Students who used all three: 21

Now, subtract all these from the total students who used Instagram:

\[
\text{Only Instagram} = 71 - (14 + 22 + 21) = 71 - 57 = 14
\]

### Answer: 14 students used only Instagram.

Let me know if you'd like further details or have additional questions!

---

**Next Questions:**
1. How many students used only Twitter?
2. How many students used only Facebook?
3. How many students used all three platforms?
4. How many students used both Instagram and Facebook but not Twitter?
5. How many students did not use any social media platform?

**Tip:** In problems involving sets, Venn diagrams can help visualize the relationships between different groups!

A survey of 116 high school students determined whether they used Instagram, Twitter, or Facebook. The provided information was determined:
- 71 used Instagram.
- 60 used Twitter.
- 75 used Facebook.
- 35 used both Instagram and Twitter.
- 43 used both Instagram and Facebook.
- 40 used both Twitter and Facebook.
- 21 used all three features.

How many of the students surveyed used only Instagram?

This problem involves a survey of 116 students using Instagram, Twitter, and Facebook. Learn how to determine how many students used only Instagram using set theory and the inclusion-exclusion principle. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation