Bunuel wrote:
calreg11 wrote:
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?
6
16
17
33
84
{Total}={Writers}+{Editors}-{Both}+{Neither}.
{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.
Hope it's clear.
Hi Bunuel,
Can you please explain "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."
I understand the concept that when we want to maximize something, we want to minimize the other, but why do we want to minimize editors? Aren't we trying to find the greatest number of editors AND writers? Shouldn't we want to MAXIMIZE Editors AND Writers?
Thanks