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In a class of 50 students 40 students offered P... - JAMB Mathematics 2019 Question

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A

42

B

20

C

70

D

54

correct option: b

n(Total) = 50

n(Physics) = 40

n(Biology) = 30

Let x = n(Physics and Biology)

Hence, 

n(Physics only) = 40 -x

n(Biology only) = 30 - x

40 - x + 30 - x + x = 50

70 - x = 50

x = 20

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