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# A box office sold a total of 400 tickets to a certain performance. If

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Math Expert
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A box office sold a total of 400 tickets to a certain performance. If [#permalink]

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14 Mar 2018, 00:56
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78% (00:51) correct 22% (00:20) wrong based on 35 sessions

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A box office sold a total of 400 tickets to a certain performance. If b tickets were sold at the benefactor rate, g were sold at the group rate, and the remaining r at the normal rate, how many tickets were sold at the group rate?

(1) r = 180
(2) The rate of b to g to r is 4 to 7 to 9
[Reveal] Spoiler: OA

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A box office sold a total of 400 tickets to a certain performance. If [#permalink]

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Updated on: 14 Mar 2018, 09:13
Bunuel wrote:
A box office sold a total of 400 tickets to a certain performance. If b tickets were sold at the benefactor rate, g were sold at the group rate, and the remaining r at the normal rate, how many tickets were sold at the group rate?

(1) r = 180
(2) The rate of b to g to r is 4 to 7 to 9

Total No of ticket sold: b+g+r =400
let their rate be Rb, Rg ,Rr.
Their is no information about total collection from ticket sale.
Question we have to answer is "how many tickets were sold at the group rate"

Statement 1 : r= 180
b+g+ 180 = 400
b+g = 220
We cannot find vaue of g from this statement.
Statement 2 Rb:Rg:Rr :: 4:7:9
b*Rb + g*Rg + r*Rr = Ticket sales revenue
b*4x + g*7x +r*9x = Ticket sales revenue
as total ticket sales revenue is not given, so this information is not suffcient to find out value of g.

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Originally posted by Princ on 14 Mar 2018, 01:20.
Last edited by Princ on 14 Mar 2018, 09:13, edited 1 time in total.
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Joined: 22 Aug 2013
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Location: India
Re: A box office sold a total of 400 tickets to a certain performance. If [#permalink]

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14 Mar 2018, 04:46
Princ wrote:
Bunuel wrote:
A box office sold a total of 400 tickets to a certain performance. If b tickets were sold at the benefactor rate, g were sold at the group rate, and the remaining r at the normal rate, how many tickets were sold at the group rate?

(1) r = 180
(2) The rate of b to g to r is 4 to 7 to 9

Total No of ticket sold: b+g+r =400
let their rate be Rb, Rg ,Rr.
Their is no information about total collection from ticket sale.
Question we have to answer is "how many tickets were sold at the group rate"

Statement 1 : r= 180
b+g+ 180 = 400
b+g = 220
We cannot find vaue of g from this statement.
Statement 2 Rb:Rg:Rr :: 4:7:9
as total ticket collection is not given, so this information is not suffcient to find out value of g.

Hello

Isn't the total number given as 400?

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Joined: 27 Oct 2017
Posts: 303
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Re: A box office sold a total of 400 tickets to a certain performance. If [#permalink]

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14 Mar 2018, 05:08
2
KUDOS
Hi

Total number of tickets guven not the revenue. The ratio of rates given. Even after combining, we can find individual rates . But not the number of ticket.

Hence insufficient.

amanvermagmat wrote:
Princ wrote:
Bunuel wrote:
A box office sold a total of 400 tickets to a certain performance. If b tickets were sold at the benefactor rate, g were sold at the group rate, and the remaining r at the normal rate, how many tickets were sold at the group rate?

(1) r = 180
(2) The rate of b to g to r is 4 to 7 to 9

Total No of ticket sold: b+g+r =400
let their rate be Rb, Rg ,Rr.
Their is no information about total collection from ticket sale.
Question we have to answer is "how many tickets were sold at the group rate"

Statement 1 : r= 180
b+g+ 180 = 400
b+g = 220
We cannot find vaue of g from this statement.
Statement 2 Rb:Rg:Rr :: 4:7:9
as total ticket collection is not given, so this information is not suffcient to find out value of g.

Hello

Isn't the total number given as 400?

Posted from my mobile device

Posted from my mobile device
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Location: India
Re: A box office sold a total of 400 tickets to a certain performance. If [#permalink]

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14 Mar 2018, 11:14
gmatbusters wrote:
Hi

Total number of tickets guven not the revenue. The ratio of rates given. Even after combining, we can find individual rates . But not the number of ticket.

Hence insufficient.

amanvermagmat wrote:
Princ wrote:

Hello

Isn't the total number given as 400?

Posted from my mobile device

Posted from my mobile device

Hello

Thanks for clarifying. I mis-read the word 'rate' in second statement as 'ratio'.
Re: A box office sold a total of 400 tickets to a certain performance. If   [#permalink] 14 Mar 2018, 11:14
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