Question

a survey of 120 high school students determined whether they used instagram, twitter, or facebook. the provided information was determined
71 used instagram. 62 used twitter
77 used facebook. 37 used instagram and twitter
46 used instagram and facebook. 38 used twitter and facebook
23 had all three features
complete parts a) through e)

a) how many of the students surveyed used only instagram?
11 (type a whole number)
b) how many of the students surveyed used instagram and twitter, but not facebook?
14 (type a whole number)
c) how many of the students surveyed used instagram or twitter?
96 (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 their intersection (excluding Facebook)

From part a, only Instagram is 11. From part b, Instagram and Twitter (not Facebook) is 14. Now find only Twitter: Total Twitter users - (Instagram and Twitter + Twitter and Facebook - all three) = 62 - (37 + 38 - 23) = 62 - 52 = 10.

Step2: Sum only Instagram, only Twitter, and Instagram-Twitter (not Facebook)

Sum = 11 (only IG) + 14 (IG and TW, not FB) + 10 (only TW) = 35.

Answer:

35