Question

Oh 6r
100 people are attending a newspaper conference. 45 of them are writers and more than 38 are editors. Of the
people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number
of people who are both writers and editors?
TOTOX
6
έOTOXO
OVITOTOX
e ITOTOXO
16
17
Сл
33
9
84
Logic​

Answer 1

Answer:

Total} = 100;

{Writers} = 45;

{Editors} > 38;

{Both} = x;

{Neither} = 2x;

100 = 45 + {Editors} - x + 2x

x = 55 - {Editors}.

We want to maximize x, thus we should minimize {Editors}, minimum possible value of {Editors} is 39, thus:

x = {Both} = 55 - 39 = 16.

Answer: B.