# Can you solve this problem? The total number of undergraduate students...

1. 82
Iamsamposted 5 years ago

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,     &amp;   d: 100

2. 60
kittycristonposted 5 years ago

Uh aa! not sure! but waiting for others reply...

3. 0
JThomp42posted 5 years ago

I will choose the answer to be B: 80.................................................

4. 93
drpennypincherposted 5 years ago

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.

Nice puzzle!

5. 0
calculus-geometryposted 5 years ago

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.

6. 60
kingkosposted 5 years ago