Can you solve this problem? The total number of undergraduate students...
in a college is 270. If 2/3 of the number of students in the Science Stream is same as 3/4 of the number of students in the Arts stream and 3/5 of the number of students in the Commerce stream, how many are the Science students?
Options: a:75 , b: 80, c: 90, & d: 100
I will choose the answer to be B: 80.................................................
I would say c, 90
You can assume:
Sci + arts + comm = 270
Then substitute to put everything in terms of science students:
Remember to scale art and comm students to the full population, not 3/4 and 3/5.
If everyone is in exactly one of the three streams, then you solve the system
S + A + C = 270
(2/3)S = (3/4)A
(2/3)S = (3/5)C
The last two equations are equivalent to (8/9)S = A and (10/9)S = C. If you substitute those into the first equation, you get
S + (8/9)S + (10/9)S = 270
3S = 270
S = 90.
So the answer is choice c.
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