Question

1. the venn diagram below shows the number of sophomores with facebook, twitter, and instagram accounts.

venn diagram with three circles labeled facebook, twitter, instagram. numbers: facebook only 124, facebook and twitter only 37, facebook and instagram only 55, all three 21, twitter only 46, twitter and instagram only 16, instagram only 34, outside all 28

a. how many sophomores just have a facebook account?
______

b. how many sophomores have a twitter or instagram account?
______

c. how many sophomores have facebook, twitter, and instagram accounts?
______

d. how many students do not have a twitter account?
______

e. how many students do not have a facebook and instagram account?
______

Explanation:

Step1: Identify only Facebook

The section exclusive to Facebook is given directly.
Value = 124

Step2: Sum Twitter/Instagram regions

Add all sections in Twitter or Instagram circles.
$46 + 37 + 21 + 16 + 55 + 34 = 209$

Step3: Sum all account regions

Add every number inside the three circles.
$124 + 37 + 46 + 21 + 55 + 16 + 34 = 333$

Step4: Calculate no Twitter accounts

Total students minus all Twitter-inclusive regions.
$28 + 333 = 361$ (total students)
$361 - (46 + 37 + 21 + 16) = 361 - 120 = 241$

Step5: Calculate no FB/Instagram accounts

Total students minus all FB/Instagram-inclusive regions.
$361 - (124 + 55 + 21 + 37 + 16 + 34) = 361 - 287 = 74$

Answer:

a. 124
b. 209
c. 333
d. 241
e. 74