Can anyone help explain this?
"Half of the students in Metropolis Graduate School's entering class scored over 500 on the GMAT. Of these students, two-thrids were Finance majors. Of the finance majors, three-fifths had worked on Wall Street. What fraction of the entering MBA class were finance majors who scored over 500 on the GMAT but didn't work on Wall Street?"
a. 2/15
b. 1/5
c. 3/10
d. 1/3
e. 2/5
The answer key says it is a. 2/15. i.e. 1/2 * 2/3 * (1-3/5) = 2/15.
(Those who socred over 500) *( of these, the F majors)*(1-the F majors who worked on WS).
I would agree with this if instead of "Of the finance majors, three fifths had worked on WS" it read "Of these finance majors, ..." or something to that effect. Although, I'm not possitive about his. Please help!
"Half of the students in Metropolis Graduate School's entering class scored over 500 on the GMAT. Of these students, two-thrids were Finance majors. Of the finance majors, three-fifths had worked on Wall Street. What fraction of the entering MBA class were finance majors who scored over 500 on the GMAT but didn't work on Wall Street?"
a. 2/15
b. 1/5
c. 3/10
d. 1/3
e. 2/5
The answer key says it is a. 2/15. i.e. 1/2 * 2/3 * (1-3/5) = 2/15.
(Those who socred over 500) *( of these, the F majors)*(1-the F majors who worked on WS).
I would agree with this if instead of "Of the finance majors, three fifths had worked on WS" it read "Of these finance majors, ..." or something to that effect. Although, I'm not possitive about his. Please help!
