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Every attendee at a monster truck rally paid the same direct [#permalink]
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09 Dec 2013, 00:19
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Every attendee at a monster truck rally paid the same admission fee. How many people attended the rally? (1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater. (2) If the admission fee had been raised to $30 and twothirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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09 Dec 2013, 01:04
Qoofi wrote: Every attendee at a monster truck rally paid the same admission fee. How many people attended the rally?
1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater. 2) If the admission fee had been raised to $30 and twothirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected. Initially, No of people attending = x Price per ticket = y Revenue collected = (No. of tickets sold)*(Price per ticket) = x*y. Condition 1: No of people attending = 2x Price per ticket = 20 Revenue for condition 1 = 2x*20 = 40x This revenue is 3 times the original revenue, Thus, 40x = 3xy x cancels out, hence insufficient Condition 2: No of people attending = 2x/3 Price per ticket = 30 Revenue for condition 1 = 2x*30/3 = 20x This revenue is 3 times the original revenue, Thus, 20x = 1.5xy x cancels out, hence insufficient 1 & 2 together donot give the value of x either. Hence OA is E.



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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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09 Dec 2013, 01:16
Every attendee at a monster truck rally paid the same admission fee. How many people attended the rally?Number of attendees = n; Fee = x. (1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater. 20*2n = 3xn > x = 40/3. Not sufficient. (2) If the admission fee had been raised to $30 and twothirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected. 30*2/3*n = 3/2*xn > x = 40/3. Not sufficient. (1)+(2) From both statements we have that x = 40/3, which is not sufficient to get the value of n. Answer: E. Hope it's clear.
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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06 Nov 2014, 01:43
Bunuel, Thanks for the explaination, I marked D for this question and below was my method 1 > Admission Fee be X and total number of people attended be N so initially Total = XN Now, with St.1, we have 2N * (X+20) = 3XN > 20XN + 40N = 3XN > 40N = XN > X = 40. Hence sufficient. What did I do wrong here? Ameya



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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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06 Nov 2014, 07:28
Ameya85 wrote: Bunuel, Thanks for the explaination, I marked D for this question and below was my method 1 > Admission Fee be X and total number of people attended be N so initially Total = XN Now, with St.1, we have 2N * ( X+20) = 3XN > 20XN + 40N = 3XN > 40N = XN > X = 40. Hence sufficient. What did I do wrong here? Ameya First of all, we need to find n, not x. Next, your equation is not correct. (1) says "If the admission fee had been raised to $20" not " by $20". Thus it should be 20*2n = 3xn.
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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04 Mar 2015, 01:19
Dear BunuelYou wrote, Number of attendees = n; Fee = x.
(1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater.
20*2n = 3xn > x = 40/3. Not sufficient.
why x can not be 40/3 ? (It appeared okay to me, since a fee can be 13.33) can you please tell me, what am i missing here ?



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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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04 Mar 2015, 03:34



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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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04 Mar 2015, 04:09
Thanks, I got that. Just tell me one more thing, does this problem belong to the criteria "two variable, one equation.. no solution..." ?



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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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26 Mar 2016, 03:40
hey Bunueli have a slight doubt in this question in the first statement it says the collection would have been 3 times greater what does 3 times greater mean? i initially wrote => XN+3XN then Changed it to 3XN as it looked messier in the first place. can you help me out here.. thanks
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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27 Apr 2016, 13:01



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27 Apr 2016, 20:42
stonecold wrote: Abhishek009 Need some help with this one. This question although is straight forward but i cannot seem to get the statement 1 I have this doubt for over a 1 months now ..!!! Bunuel is a busy man Hi stonecold, 3 different ways  1)two times greater than MEANS 2x BUT will be x+200% of x if it reads y is 200% greater than x 2) two times as many MEANS 2x again 3) BUT two times more than MEANS x+2x = 3xHope it clears the doubt Regards, Chetan
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27 Apr 2016, 20:48
Cool ..! I get the difference now .!
Regards StoneCold



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Every attendee at a monster truck rally paid the same direct [#permalink]
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27 Apr 2016, 20:54
stonecold wrote: Cool ..! I get the difference now .!
Regards StoneCold Hi, i think there was a typo in my post above  two times Greater than should be same as more than so it should be x+2x = 3x.. examples x is 200% more/ greater than y  x = y+2y.. But if it says x is two times greater than y it will be x=2y.. x is 2 times as much as y  x=2y
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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28 Apr 2016, 01:18
chetan2u wrote: stonecold wrote: Cool ..! I get the difference now .!
Regards StoneCold Hi, i think there was a typo in my post above  two times Greater than should be same as more than so it should be x+2x = 3x.. examples x is 200% more/ greater than y  x = y+2y.. But if it says x is two times greater than y it will be x=2y.. x is 2 times as much as y  x=2y THATS What my Doubt is.. Okay so i am more confused now. Statement 1 of yours is not clear chetan I have no doubt in one and two. What does y is two times greater than x represent mathematically regards StoneCold
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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28 Apr 2016, 01:27
stonecold wrote: chetan2u wrote: stonecold wrote: Cool ..! I get the difference now .!
Regards StoneCold Hi, i think there was a typo in my post above  two times Greater than should be same as more than so it should be x+2x = 3x.. examples x is 200% more/ greater than y  x = y+2y.. But if it says x is two times greater than y it will be x=2y.. x is 2 times as much as y  x=2y THATS What my Doubt is.. Okay so i am more confused now. Statement 1 of yours is not clear chetan I have no doubt in one and two. What does y is two times greater than x represent mathematically regards StoneCold Hi, let me talk of greater than, as I have seen its usage.. greater than is used to compare numbers , % etc.. lets see the %..x is 20% greater than y MEANS x = y+0.2y.. x is 100% greater than y means x= y+y =2y.. here the value of % greater than is added over and above initial value.. Now numbers in terms of radius, height etc..height is two times greater than radius of the cylinder.. h = 2r.. Prob of doing x is two times greater than prob of doing y.. so prob of x = 2* prob of doing y.. so these are the two different variations which I wanted to speak of..
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Re: Every attendee at a monster truck rally paid the same direct [#permalink]
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11 Dec 2016, 02:26
Bunuel wrote: Every attendee at a monster truck rally paid the same admission fee. How many people attended the rally?
Number of attendees = n; Fee = x.
(1) If the admission fee had been raised to $20 and twice as many people had attended, the total admission fees collected would have been three times greater.
20*2n = 3xn > x = 40/3. Not sufficient.
(2) If the admission fee had been raised to $30 and twothirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
30*2/3*n = 3/2*xn > x = 40/3. Not sufficient.
(1)+(2) From both statements we have that x = 40/3, which is not sufficient to get the value of n.
Answer: E.
Hope it's clear. Hi, I have an issue with the phrase "greater than" If I say X is twice of Y, then it should mean > X = 2Y If I say X is two times greater than Y, shouldn't it mean > X = 3Y Here, in the above question based on statement (1) shouldn't it be 4xn instead of 3xn as the phrase uses the term "three times greater than" instead of "three times" alone.



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