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60 students in 9th grade 25 take only chorus, 18 take only band, and 9 do not take either. How many take both?

All work please.

Thanks

2007-05-03 01:24:44 · 9 answers · asked by WMF1650 1 in Education & Reference Homework Help

9 answers

Let A = students taking chorus
Let B = students taking band

A - A intersection B = 25 1)

B - A intersection B = 18 2)

(A complement) intersection (B complement) =9 3)

Total =60

A intersection B = Total - 1) -2) -3)
=60 - 25 - 18- 9
=60 - 52 = 8

Answer = 8

2007-05-03 01:41:46 · answer #1 · answered by cinu 4 · 0 1

60 students - 25 only chorus - 18 only band = 17 remaining
17 students - 9 take none = 8 remaining

your answer is 8

2007-05-03 08:39:23 · answer #2 · answered by Chris 2 · 0 0

60-25-18-9=8

2007-05-03 08:35:57 · answer #3 · answered by Anonymous · 0 0

Think you'd meant 60 not 90.

But yup, same idea - subtract 25, 18 and 9 and you'll get the number who do both.

PS The answer is not 4.

2007-05-03 08:35:22 · answer #4 · answered by strayinma 4 · 0 0

90 total

25 take only chorus, 18 take only band, and 9 take neither, so subtract all of those from the 90.

90 - 25 - 18 - 9 = your answer

2007-05-03 08:29:11 · answer #5 · answered by FCabanski 5 · 0 1

60 students- those who only take either chorus or band- those who take neither= 60- 25-18-9=8

8 students take both.

2007-05-03 08:33:26 · answer #6 · answered by cyanideprincess0008 3 · 0 1

60 students

25=chorus
18=band
9 take neither

60-52=8 8 take chorus and band

2007-05-03 09:42:26 · answer #7 · answered by Dave aka Spider Monkey 7 · 0 0

60-25-18-9=8
Hope that helps.

2007-05-03 13:34:42 · answer #8 · answered by Anonymous · 0 0

Just use the formula
P(A union B) = P(A) + P(B) - P(A intersection B)

and P(only A) = P(A) - P(both)

and just proceed will arrive at the ans :)

2007-05-03 08:34:22 · answer #9 · answered by S6 2 · 0 1

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