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by MBALA2009 » Sat Jul 26, 2008 5:41 pm
In a local theatrical production, the ratio of professional actors to amateur actors is 2:9. If the director were to hire two additional professionals and keep all amateurs in the cast, the ratio of professional to amateurs would be 1:4. How many total actors (professional and amateur) are in the cast of this production?

A) 11
B) 18
C) 21
D) 22
E) 33

Ans: D
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by sudhir3127 » Sat Jul 26, 2008 9:07 pm
Are you sure the ratio is 1:4 and not 1:3?
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by vishubn » Sat Jul 26, 2008 9:15 pm
PLUG IN THE VALUES

i start from D (coincidence D is the OA )

P/A=2/9

now, P+A=22

P=(2/11)*22=4

A=18

NOW IF P IS ADDED WITH 2, THEN THE TOTAL WOULD BE 24 (PRO + ACT)
BUT THE THE amateur number i unchanged

that makes 6 profesianals and 18 amatuer

that makes the ratio 1:3
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by sudhir3127 » Sat Jul 26, 2008 9:20 pm
how do u know that P+ A = 22?
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by pepeprepa » Sun Jul 27, 2008 1:12 am
I think vishubn only makes a counter-example to show the ratio is wrong.
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by vishubn » Sun Jul 27, 2008 11:29 am
Yaaa, If the OA is 22 then no way the ratios is 1:4
pepeprepa was right ! i was countering it ! along

Vishu
cheers
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by nitingupta5 » Mon Jul 28, 2008 12:04 am
Either the answer choices are wrong or the ratio is wrong.

If the ratio is right the answer is supposed to be 88.

Am I right guys
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by gmat_oct80 » Mon Jul 28, 2008 12:44 am
P = no of Profsnl Actors
A= no of amateur Actors

P/A = 2 /9

P=2x
A= 9x

(2x+2)/9x = 1/4

8x+8=9x
x=8

P=16
A=72

Total = P+A = 88
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