Question
80 boys took the examination in the three subjects: Chinese, English and Mathematics, and none of them failed in all three subjects. It was noted that 8 passed in English only and 10 passed in Mathematics only; 7 passed in Mathematics and Chinese but not in English, 40 passed in English and Mathematics and 21 passed in English and Chinese, Altogether, 54 passed in English.
Find:
1)How many pupils passed in Chinese only,
2) How many pupils passed in all three subjects.
Find:
1)How many pupils passed in Chinese only,
2) How many pupils passed in all three subjects.
Answers
Irfan Maths Club
Here there are total 54 students who passed in English,while there are total 21 students who passed in both E and C.let say if there are x students common in all passed then
54= (21-x)+x+(40-x)+8
x=15
So in all three subjects there are 15 students who passed.
now
80=54+57+(6+15+7+x)-21-40-22+15
HERE x denotes students passed in chinese only
x=9
For further discussion
skype id IrfanMathsClub
Fb-------IrfanMathsClub
54= (21-x)+x+(40-x)+8
x=15
So in all three subjects there are 15 students who passed.
now
80=54+57+(6+15+7+x)-21-40-22+15
HERE x denotes students passed in chinese only
x=9
For further discussion
skype id IrfanMathsClub
Fb-------IrfanMathsClub