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30 Jun 2011, 04:44
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75% (hard)

Question Stats:

58% (04:38) correct 42% (02:23) wrong based on 66 sessions

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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% [Reveal] Spoiler: OA Math Forum Moderator Joined: 20 Dec 2010 Posts: 2021 Followers: 159 Kudos [?]: 1627 [0], given: 376 Re: A movie theater regularly sells adult tickets for$12 and child ticket [#permalink]

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30 Jun 2011, 05:24
vinayreguri 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% Let the discount offered on adult tickets be x Let the discount offered on child tickets be y sum of the two discount rates is 15% x+y=0.15 y=0.15-x ---------------------1 On a regular day, 3 adults would pay 3*12=36 But, with a discount of x, adults would have to pay 36x less Likewise, with discounts, 8 children would have to pay 8*6y=48y less 3 adults and 8 children spends a total of$6 less
36x+48y=6
Divide by 6
6x+8y=1-------------------------2

Substituting the value of y from 1 in 2:

6x+8(0.15-x)=1
6x+1.2-8x=1
-2x=-0.2
x=0.2/2=1/10=0.1=10%

Ans: "B"
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01 Jul 2011, 04:34
Since I know the total discount value is $6. I would simply write down, 3.12.a/100 + 8.6.c/100 = 6 other equation given to us is a/100 + c/100 = 15/100 simplifying and solving for a we get 10% B is correct Manager Status: ==GMAT Ninja== Joined: 08 Jan 2011 Posts: 247 Schools: ISB, IIMA ,SP Jain , XLRI WE 1: Aditya Birla Group (sales) WE 2: Saint Gobain Group (sales) Followers: 5 Kudos [?]: 73 [0], given: 46 Re: A movie theater regularly sells adult tickets for$12 and child ticket [#permalink]

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05 Jul 2011, 05:21
vinayreguri 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% B for me 3*12*x%+8*6*(15-x)%=6 by solving this we get x=10% hope this helps _________________ WarLocK _____________________________________________________________________________ The War is oNNNNNNNNNNNNN for 720+ see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html do not hesitate me giving kudos if you like my post. GMAT Club Legend Joined: 09 Sep 2013 Posts: 12251 Followers: 542 Kudos [?]: 151 [0], given: 0 Re: A movie theater regularly sells adult tickets for$12 and child ticket [#permalink]

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17 Jul 2015, 09:13
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21 Dec 2015, 01:45
36x+48(15-x)=600.....solve to get adult discount as 10%.....500 level..
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01 Jan 2016, 16:18
let x=discount rate on adult movie ticket
36x+48(.15-x)=6
12x=1.2
x=10%
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Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink] ### Show Tags 23 Oct 2016, 09:32 backsolving helps to solve this problem quickly. Although I am more comfortable with algebra. Re: A movie theater regularly sells adult tickets for$12 and child ticket   [#permalink] 23 Oct 2016, 09:32
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