OG Problem solving 200 solution

Question

Hi,
 Can someone provide a more simple solution to OG PS 200 problem

OG 12th edition question.I am typing the question anyways..

Of the 50 researchers in a workgroup,40 percent will be assigned to team A and remaining 60 percent to team B.However 70% of the researchers prefer team A and 30 % prefer team B.What is the lowest number of researchers who will not be assigned to the team they prefer

Options
1)15
2)17
3)20
4)25
5)30
Please provide me the best approach to solve this kind of problems

fluke · Answer

Please see the attached image;

bipin0611 · Answer

Thanx . . I was confused over how to draw the table

144144 · Answer

OA is A or B?

I cannot c how it can b B.

It must be A

lilolme · Answer

Solution: took just over 1 min

Capacity
Team A - 40%
Team B - 60%

Preference
A - 70%
B - 30%

Assign as prefered to A first - 40%. 
Remaining 60% to B => 30% don't get their preference
30% of 50 = 15.

Answer A.

144144 · Answer

yea, but bipin0611 is saying its B... (original post)

lilolme · Answer

it cannot be B

you have to assign to A first. No point in assigning any of B to A .. then you assign as much of those who prefer B to B and you have exactly 30% remaining.

I thought perhaps the question was copied wrong and lets suppose it should be "60 percent of remaining to team B". Even then 
you assign 40% to A, then 60% of remaining ie 0.6 * 30=18 but this is still more than all those who prefer B (ie 15). In this case 3 of those who prefer A will be in B and the rest (12) will not be in any team and the answer is still 15.

bipin0611 · Answer

Sorry guyz ,I marked the wrong answer intially.The answer is 15 and OA is A.

RAJUNAG · Answer

A B

ASSIGNED 20 30

PREFERENCE 35 15

------------------
LEAST NO 15

OG Problem solving 200 solution

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