Question 905207: A survey of 100 seniors at Mathbe Goode High School reported 82 students taking a mathematics course, 33 taking a chemistry course, and 27 taking a physics course, and 42 students not taking any science course(chemistry or physics). If everyone taking a science course is also taking a mathematics course, how many students are taking mathematics chemistry, and physics
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! 
18 take none of those course
100-82=18
Since all science students also take math
there are no science only nor chem and physic
Except for the 18 who take none
all are in the math circle
since there are 27 physics students they must be in ac and abc
since there are 33 chem students they must be in ac and abc
since there are 82 math students there must be 40 in ab, ac and abc
ab+bc+abc=40
ab +abc=33
ac+abc=27
1,1,1,40
1,0,1,33
0,1,1,27
1,0,0,13
0,1,0,7
0,0,1,20
ab=13
ac=7
and abc=20
|
|
|
