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# From 9:00 to 17:55, inclusive, a ticket station sold tickets

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From 9:00 to 17:55, inclusive, a ticket station sold tickets [#permalink]

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06 May 2006, 00:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

From 9:00 to 17:55, inclusive, a ticket station sold tickets to 30 people in each 5 minutes. The price for adult is $10, for child,$6. The number of the tickets sold to the adult is 3 times to the number of the tickets to children. What is the total gross revenue of the day?
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06 May 2006, 01:50
getzgetzu wrote:
From 9:00 to 17:55, inclusive, a ticket station sold tickets to 30 people in each 5 minutes. The price for adult is $10, for child,$6. The number of the tickets sold to the adult is 3 times to the number of the tickets to children. What is the total gross revenue of the day?

$28,890? 9 hours * 60 min = 540 - 5 = 535 minutes / 5 = 107 30* 107 = 3,210 tickets 4x = 3,210 x = 802.50*6 = 4815 4815+24075 =$28,890

I may have made a mistake somewhere but I'm going to bed now.....
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06 May 2006, 02:38
i am also getting $29160 Manager Joined: 27 Mar 2006 Posts: 136 Followers: 1 Kudos [?]: 1 [0], given: 0 ### Show Tags 06 May 2006, 12:06 I am getting 28890 as well Manager Joined: 29 Apr 2006 Posts: 85 Followers: 1 Kudos [?]: 29 [0], given: 0 ### Show Tags 06 May 2006, 12:34 I am getting$28,890.
What does not look practical is that the no. of adults the tickets were sold to came out to be = 3/4*3210 = 2,407.5
Doesn't sound right. I was expecting a whole number.
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06 May 2006, 14:24
exactly. The number of tickets cannot be in decimals What am I doing wrong?

What is the OA?
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06 May 2006, 16:46
$29,160 does not seem to right. If you count 108 intervals you would land up with it. However the number of intervals is 107. So the value is$28,890.

Now this question is odd. The number of tickets cannot be a fraction!!
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Zooroopa

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06 May 2006, 17:39
Hmm I got a different number - $25,282 total intervals = 107*30=3210 3:1 tix Adult:Child 3x + 1x = 3210 <----I guess this should just be 3/4 for Adults and 1/4 for Children? 4x = 3210 x = 702.5 702*3=2107*10=21070 702*6=4212+21070=25282 Manager Joined: 09 Apr 2006 Posts: 173 Location: Somewhere in Wisconsin! Followers: 1 Kudos [?]: 3 [0], given: 0 ### Show Tags 06 May 2006, 17:45 OasisNYK wrote: Hmm I got a different number -$25,282

total intervals = 107*30=3210

3x + 1x = 3210 <----I guess this should just be 3/4 for Adults and 1/4 for Children?
4x = 3210
x = 702.5

702*3=2107*10=21070
702*6=4212+21070=25282

This shall happen if you take the nearest number to 802.5. Since the question stem does not talk about disregarding or not disregarding fractional numbers, the answer is subject to interpretation. With 802.5 the answer is $28,890. _________________ Thanks, Zooroopa Senior Manager Joined: 07 Apr 2006 Posts: 499 Followers: 1 Kudos [?]: 8 [0], given: 0 ### Show Tags 06 May 2006, 17:49 So I am on the right path math wise, just the interpretation is off? Manager Joined: 09 Apr 2006 Posts: 173 Location: Somewhere in Wisconsin! Followers: 1 Kudos [?]: 3 [0], given: 0 ### Show Tags 07 May 2006, 09:59 Yes conceptually your solution is fine. _________________ Thanks, Zooroopa VP Joined: 06 Jun 2004 Posts: 1057 Location: CA Followers: 2 Kudos [?]: 159 [0], given: 0 ### Show Tags 10 May 2006, 01:08 sm176811, can you explain how you got 29160 or please let me know where I went wrong. Tks! _________________ Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing... Manager Joined: 27 Jan 2006 Posts: 156 Location: Europe Followers: 1 Kudos [?]: 4 [0], given: 0 ### Show Tags 11 May 2006, 06:45 TeHCM wrote: sm176811, can you explain how you got 29160 or please let me know where I went wrong. Tks! I wonder it too. plz explain about it... Director Joined: 10 Oct 2005 Posts: 718 Location: Madrid Followers: 4 Kudos [?]: 25 [0], given: 0 ### Show Tags 11 May 2006, 08:02 TeHCM wrote: sm176811, can you explain how you got 29160 or please let me know where I went wrong. Tks! Same approach as TeHCM please show your working _________________ IE IMBA 2010 Director Joined: 24 Oct 2005 Posts: 659 Location: London Followers: 1 Kudos [?]: 16 [0], given: 0 Re: Gross Revenue [#permalink] ### Show Tags 11 May 2006, 09:12 TeHCM wrote: getzgetzu wrote: From 9:00 to 17:55, inclusive, a ticket station sold tickets to 30 people in each 5 minutes. The price for adult is$10, for child, $6. The number of the tickets sold to the adult is 3 times to the number of the tickets to children. What is the total gross revenue of the day?$28,890?

9 hours * 60 min = 540 - 5 = 535 minutes / 5 = 107

30* 107 = 3,210 tickets

4x = 3,210

x = 802.50*6 = 4815

4815+24075 = \$28,890

I may have made a mistake somewhere but I'm going to bed now.....

But the real answer is obtained when the number of minutes is 540. ie. 9 hrs. I dont know why though.
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11 May 2006, 22:55
I think the trap lies in "The number of the tickets sold to the adult is 3 times to the number of the tickets to children".
It may be interpreted not as x=3y but as x=y+3y -->x=4y

What do you think?
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12 May 2006, 01:24
sm176811 wrote:
I am getting 29160

Hey John how do you get such number, please elaborate your solution.

I'm confused, my answer is 28,890.
Maybe OA is wrong?
12 May 2006, 01:24
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