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

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

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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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New post 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.

So answer is E
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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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Re: A box office sold a total of 400 tickets to a certain performance. If [#permalink]

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New post 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.

So answer is E


Hello

Isn't the total number given as 400?

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

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New post 14 Mar 2018, 05:08
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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.

Answer E

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.

So answer is E


Hello

Isn't the total number given as 400?

Posted from my mobile device


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

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New post 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.

Answer E

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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