Hi kaustubhkohli12,Good catch to pause on the wording, but the question is
not about the other college at all. Let me untangle the two colleges that are floating around.
Everybody in this problem is a
graduating student at the one "certain college." That single group is your total:
m males +
f females. The question just wants
m / (m + f) - the male fraction of that graduating class.
So where does "another college" come from? It's only a
label on part of that same group. Some of these graduating students happen to have
arrived here by transferring in from somewhere else earlier. They still graduate from the certain college - they're still inside
m and
f. "Transferred from another college" describes
how they got here, not a separate school we're measuring.
That's why the statements aren't switching the subject:
-
Statement (1): of the certain college's graduates,
33% of the
males and
20% of the
females are transfer-ins -
0.33m + 0.20f transfer students.
-
Statement (2):25% of
all the certain college's graduates are transfer-ins -
0.25(m + f).
Both describe the
same transfer group two different ways, so you set them equal and solve for the ratio - landing at
m/(m+f) = 5/13.
A quick parallel to lock it in: imagine a class of
30 kids. "
20% of the kids wear glasses" doesn't make the question about
glasses shops - it just tags a slice of the same
30 kids. Here, "transferred from another college" tags a slice of the same graduating class.
So you never leave the certain college. The other college is just the origin story of some students, not what you're counting.
Answer: Ckaustubhkohli12
but isn't this about certain other college ?