Question

a survey of 112 high school students determined whether they used instagram, twitter, or facebook. the provided information was determined.
64 used instagram
60 used twitter
73 used facebook
31 used instagram and twitter
40 used instagram and facebook
39 used twitter and facebook
20 had all three features.
complete parts a) through e)
a) how many of the students surveyed used only instagram?
13 (type a whole number)
b) how many of the students surveyed used instagram and twitter, but not facebook?
11 (type a whole number)
c) how many of the students surveyed used instagram or twitter?
93 (type a whole number)
d) how many of the students students used instagram or twitter, but not facebook?
□ (type a whole number)

Explanation:

Step1: Find only Instagram, only Twitter, and Instagram-Twitter only

From part a, only Instagram is 13. From part b, Instagram and Twitter only (not Facebook) is 11. Now find only Twitter: Total Twitter users = 60. Twitter and Instagram only = 11, Twitter and Facebook only = \(39 - 20 = 19\), all three = 20. So only Twitter = \(60 - 11 - 19 - 20 = 10\).

Step2: Calculate Instagram or Twitter but not Facebook

Sum only Instagram, only Twitter, and Instagram-Twitter only: \(13 + 10 + 11 = 34\).

Answer:

34