Hi,
I'm hoping someone can tell what I'm doing wrong on this question. The question reads:
In a nationwide poll, N people were interviewed. If 1/4 of them answered "yes" to question 1, and of those, 1/3 answered yes to question 2, which of the following expressions represents the number of people interviewed who did not answer "yes" to both questions?
A) N/7
B) 6N/7
C) 5N/12
D) 7N/12
E) 11N/12
OA is "E" and I solved this problem by picking numbers and making N=12 and theoretically I would think that the number of people did not answer yes would = 8 because 1/4 of N = 3 and 1/3 of 3 = 1 for a total of 4 who answered yes to both questions. So 8 should be the value for the number of people who did not answer yes to both questions but when I plug N = 12 into answer E I don't get a value of 8.
What am I doing wrong?
I'm hoping someone can tell what I'm doing wrong on this question. The question reads:
In a nationwide poll, N people were interviewed. If 1/4 of them answered "yes" to question 1, and of those, 1/3 answered yes to question 2, which of the following expressions represents the number of people interviewed who did not answer "yes" to both questions?
A) N/7
B) 6N/7
C) 5N/12
D) 7N/12
E) 11N/12
OA is "E" and I solved this problem by picking numbers and making N=12 and theoretically I would think that the number of people did not answer yes would = 8 because 1/4 of N = 3 and 1/3 of 3 = 1 for a total of 4 who answered yes to both questions. So 8 should be the value for the number of people who did not answer yes to both questions but when I plug N = 12 into answer E I don't get a value of 8.
What am I doing wrong?
