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# For a certain performance at a concert hall, a total of

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For a certain performance at a concert hall, a total of [#permalink]

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10 May 2004, 18:53
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For a certain performance at a concert hall, a total of 2,350 tickets were sold in the orchestra, first mezzanine, and second mezzanine. How many orchestra tickets were sold?

The number of first mezzanine tickets sold was one-half the number of second mezzanine tickets sold.

The total number of first and second mezzanine tickets sold was 50 percent greater than the number of orchestra tickets sold.
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shubhangi

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10 May 2004, 19:14

A doesn't tell enough : 0 + 3/2 M = 2350
B is enough : O + 3/2 O = 2350 ---> O = 940.
So B is enough to find out.
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10 May 2004, 23:46
shubhangi wrote:
For a certain performance at a concert hall, a total of 2,350 tickets were sold in the orchestra, first mezzanine, and second mezzanine. How many orchestra tickets were sold?

The number of first mezzanine tickets sold was one-half the number of second mezzanine tickets sold.

The total number of first and second mezzanine tickets sold was 50 percent greater than the number of orchestra tickets sold.

B is the answer, since FM + SM = 1.5*O,

and FM + SM + O = 2350 => O = 940.
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11 May 2004, 08:51
statment 2 says :The total number of first and second mezzanine tickets sold was 50 percent greater than the number of orchestra tickets sold

50% greater than.. can we assume it as 50%..then?
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shubhangi

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11 May 2004, 22:20
for me what confused me at first was the word "orchestra"...I thought the orchestra was part of the concert and did not know it was among the ticketsand so i thought we needed only the first and second mezzanine ...i guess we need to watch out for those commas....

now that i know orchestra is also a ticket, i agree with B
11 May 2004, 22:20
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