SOLUTION: A survey of 150 students showed that 90 were taking psychology, 75 were taking economics and 22 were taking neither. The number taking both was how many? My answer is 143, is t

Question 45703This question is from textbook Finite math
: A survey of 150 students showed that 90 were taking psychology, 75 were taking economics and 22 were taking neither. The number taking both was how many?
My answer is 143, is this right. Thanks for checking my answer. This question is from textbook Finite math

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
A survey of 150 students showed that 90 were taking psychology, 75 were taking economics and 22 were taking neither. The number taking both was how many?
LET PEOPLE TAKING ONLY PSYCHOLOGY =P
LET PEOPLE TAKING ONLY ECONOMICS=E
LET PEOPLE TAKING BOTH =B
LET PEOPLE TAKING NEITHER =N
TOTAL = P+E+B+N=150...................1
P+E+B+22=150......................
P+E+B=150-22=128........................2
P+B=90.....................3
E+B=75....................4
EQN.3+EQN.4 GIVES
P+E+2B=90+75=165........................5
EQN.5-EQN.2 GIVES
B=165-128=37
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