Asked by Emmanuel
Out of 300 student in final year in senior secondary school, 200 are offering biology and the150 offering chemistry how many are offering neither biology nor chemistry
Answers
Answered by
Shredder
Universal set = 300
Biol only = 200 - x
Chem only = 150 - x
Biol nd chem = x
Biol nd chem = 200 - x + x + 150 - x = 300
Biol nd chem = - x + 350 = 300
Collect like terms
Biol nd chem = 350 - 300 = x
X = 50
(Chem U biol)' = chem only + physics only + chem nd physics - universal set
(chem U biol)' = 150 + 50 + 100 - 300
(chem U biol)' = 0
Therefore 0 people are offering neither biology nor chemistry
Biol only = 200 - x
Chem only = 150 - x
Biol nd chem = x
Biol nd chem = 200 - x + x + 150 - x = 300
Biol nd chem = - x + 350 = 300
Collect like terms
Biol nd chem = 350 - 300 = x
X = 50
(Chem U biol)' = chem only + physics only + chem nd physics - universal set
(chem U biol)' = 150 + 50 + 100 - 300
(chem U biol)' = 0
Therefore 0 people are offering neither biology nor chemistry
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