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diamong [38]
3 years ago
10

Of the 465 sophomores at eastside high school, exactly 13 are taking french ii or chemistry i or both. there are 40 sophomores t

aking french ii but not chemistry i, and 60 sophomores taking chemistry i but not french ii. how many sophomores are taking both french ii and chemistry i ?

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0
352 I think hope this helps
GaryK [48]3 years ago
4 0

Answer with explanation:

Number of Sophomores who are eating Outside the high school = 465

Number of sophomores ,out of 465 , who has taken, french ii(F) or chemistry i (C)or both(F∩C)=13

Number of sophomores ,out of 465 , who has taken, french ii but not chemistry i= 40

Number of sophomores ,out of 465 , who has taken, chemistry i but not french ii  = 60

To find, Number of sophomores who has taken both french ii and chemistry i, that is n(F ∪ C).

→→ n(F ∪ C)=n(F)+n(C)-n(F∩C)

⇒n(F ∪ C)= 40 + 60 -13

          =100 -13

          =87

So, 87 sophomores are taking both french ii and chemistry i.

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