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A movie theater regularly sells adult tickets for $12 and child ticket

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A movie theater regularly sells adult tickets for $12 and child ticket  [#permalink]

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New post 01 Nov 2019, 06:41
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Question Stats:

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A movie theater regularly sells adult tickets for $12 and child tickets for $6. On a certain day, the theater discounts these regular ticket prices at different rates so that a group of 3 adults and 8 children spends a total of $6 less than what it would regularly spend. If the sum of the two discount rates is 15%, what is the discount rate on each adult movie ticket?

(A) 12%
(B) 10%
(C) 8%
(D) 5%
(E) 2%

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Re: A movie theater regularly sells adult tickets for $12 and child ticket  [#permalink]

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New post 01 Nov 2019, 12:53
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Let D1 be discount percentage for adults and D2 be discount percentage for children.

We know that D1% + D2% = 15%
And

3*(1- D1%)*12 + 8*(1- D2%)*6 = 7800%
Solve for D1 = 10

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Re: A movie theater regularly sells adult tickets for $12 and child ticket  [#permalink]

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New post 01 Nov 2019, 13:14
Let there is x% discount on Adult tickets, and y% on child tickets

(12*3)*{x/100}+(6*8)(y/100)=6.......(1)

Also, x+y=15......(2)

From (1) and (2), we get
x=10
and y=5




Bunuel wrote:
A movie theater regularly sells adult tickets for $12 and child tickets for $6. On a certain day, the theater discounts these regular ticket prices at different rates so that a group of 3 adults and 8 children spends a total of $6 less than what it would regularly spend. If the sum of the two discount rates is 15%, what is the discount rate on each adult movie ticket?

(A) 12%
(B) 10%
(C) 8%
(D) 5%
(E) 2%

Are You Up For the Challenge: 700 Level Questions
GMAT Club Bot
Re: A movie theater regularly sells adult tickets for $12 and child ticket   [#permalink] 01 Nov 2019, 13:14
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