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For all shows, a local theater sells tickets at one price fo

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Carcass
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For all shows, a local theater sells tickets at one price fo [#permalink] New post   03 Oct 2018, 23:18
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For all shows, a local theater sells tickets at one price for adults and a reduced price for children. On Sunday afternoons, all tickets are sold at a discount of 20%.

Quantity A
Quantity B
The amount of money collected for 120 adults and 100 children on a Saturday night
The amount of money collected for 150 adults and 120 children on a Sunday afternoon


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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Re: For all shows, a local theater sells tickets at one price fo [#permalink] New post   04 Oct 2018, 05:08
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Carcass wrote:
For all shows, a local theater sells tickets at one price for adults and a reduced price for children. On Sunday afternoons, all tickets are sold at a discount of 20%.

Quantity A
Quantity B
The amount of money collected for 120 adults and 100 children on a Saturday night
The amount of money collected for 150 adults and 120 children on a Sunday afternoon


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


Let the price of ticket for adult be = X

and price of ticket for children be = Y

\(QTYA = 120X + 100Y\)

\(QTYB = 150(0.8X) + 120(0.8Y) = 120X + 96Y\)( 0.8 is multiplied because on Sunday 20% discount on all tickets)

Therefore QTYA > QTY B
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Re: For all shows, a local theater sells tickets at one price fo [#permalink] New post   15 Apr 2022, 18:49
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This sentence is confusing: On Sunday afternoons, all tickets are sold at a discount of 20%.

20% on what? How do I know that it´s 20% discount on Adult price and Child price?

Therefore, there should be ".... at a discount of 20% on original prices"
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Re: For all shows, a local theater sells tickets at one price fo [#permalink] New post   30 Aug 2024, 21:17
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For all shows, a local theater sells tickets at one price fo [#permalink]
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