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Concert Hall Tickets

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Concert Hall Tickets

by er_priyankajolly » Sat Jun 26, 2010 6:54 pm
Source Kaplan-Full Length Practice Test

DS Question

For a certain performance at a concert hall,a total of 2350 tickets were sold in the orchestra,first mezzanine and second mezzanine.How many orchestra tickets were sold?
1)The number of first mezzanine tickets sold was one-half the number of second mezzanine tickets sold.
2)The total number of first and second mezzanine tickets sold was 50 percent greater than number of orchestra tickets sold.


OA C
Can anyone tell me how the answer is C.
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Source: — Data Sufficiency |
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by selango » Sat Jun 26, 2010 8:53 pm
total - 2350

orchestra- o

first - f

second - s

o+f+s=2350 -Eqn 1

from stmt 1,

f=3/2.s

Insufficient.

from stmt2,

f+s=o+.5o=1.5o

we know o+f+s=2350

o+1.5o=2350

2.5o=2350

o=2350/2.5=940

Sufficient.

Hence B

Are u sure OA is C
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by er_priyankajolly » Sat Jun 26, 2010 9:19 pm
selango wrote:total - 2350

orchestra- o

first - f

second - s

o+f+s=2350 -Eqn 1

from stmt 1,

f=3/2.s

Insufficient.

from stmt2,

f+s=o+.5o=1.5o

we know o+f+s=2350

o+1.5o=2350

2.5o=2350

o=2350/2.5=940

Sufficient.

Hence B

Are u sure OA is C

Dont you think the second statement means F+S>0.5o
I made this equation out of the second.Since this was inequality i though there are many possible ways in which F+S>0.5o
so i chose E.

Had the question given that F+S was more than 50% of O then i think your equation will hold true.
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by Stuart@KaplanGMAT » Sat Jun 26, 2010 9:28 pm
er_priyankajolly wrote:Source Kaplan-Full Length Practice Test

DS Question

For a certain performance at a concert hall,a total of 2350 tickets were sold in the orchestra,first mezzanine and second mezzanine.How many orchestra tickets were sold?
1)The number of first mezzanine tickets sold was one-half the number of second mezzanine tickets sold.
2)The total number of first and second mezzanine tickets sold was 50 percent greater than number of orchestra tickets sold.


OA C
Can anyone tell me how the answer is C.
Hi,

the answer should definitely be (2) alone is sufficient - exactly which Kaplan resource is this from?
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by Testluv » Sat Jun 26, 2010 9:29 pm
Dont you think the second statement means F+S>0.5o
This would translate to:

"The total number of first and second mezzanine is greater than 50 percent the number of orchestra"

In other words the statement says "...50% greater than..." but you are reading it as "...greater than 50 percent of..."

And selango's solution is correct--as Stuart says, the answer is definitely B.
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by er_priyankajolly » Sun Jun 27, 2010 6:27 am
Testluv wrote:
Dont you think the second statement means F+S>0.5o
This would translate to:

"The total number of first and second mezzanine is greater than 50 percent the number of orchestra"

In other words the statement says "...50% greater than..." but you are reading it as "...greater than 50 percent of..."

And selango's solution is correct--as Stuart says, the answer is definitely B.

Thanks that made sense.I was wrong.
Btw sorry for the wrong OA. The correct OA is B.
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