In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?  Choose the most appropriate option
A) 37% B) 45% C) 55% D) 65% E) 75%
Setting up a matrix is how I solve this one.   Diploma No Diploma Totals   Job of Choice w/Diploma   Job of Choice w/o Diploma = 18%   Job of Choice Total = 40%   Not Job of Choice with Diploma =.25X   Not Job of Choice w/o Diploma= .75X   Total Not Job of Choice = X   Total with Diploma   Total without Diploma   Total citizen = 100   If 40% of people have their job of choice, then 60% of people do NOT have their job of choice. 25% of 60% = 15%. We can also see that 30% of the people have their job of choice and a diploma (40%-18%=22%). 22% + 15% =37%. Therefore 37% of the people in Country Z have a diploma.   37%ns 37%
<result>A</result>
In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?