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Every attendee at a monster truck rally paid the same direct
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09 Dec 2013, 00:19
Question Stats:
61% (02:27) correct 39% (02:00) wrong based on 257 sessions
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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
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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
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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
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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
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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
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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
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04 Mar 2015, 03:34
Tanvr wrote: 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 ? When combining we can get that x IS 40/3, but we need the value of n (the number of attendees), which we cannot determine.
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Re: Every attendee at a monster truck rally paid the same direct
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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
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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
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27 Apr 2016, 13:01
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
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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
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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
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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
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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
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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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Re: Every attendee at a monster truck rally paid the same direct
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03 Jun 2019, 15:48
ethanhunt007 wrote: 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
There seems to be some confusion about this earlier in this thread. The phrase "X is 2 times greater than Y" simply means that X = 2Y. It's understandable that this might seem confusing, because if instead we say "X is 200% greater than Y" we definitely mean that X = 3Y, but this all boils down to idiomatic usage in English. If you think of smaller numbers, it might be clear this is how the phrase is used in the language (there's a reason you've never heard anyone say "X is 1 times greater than Y" to mean that X is twice as big as Y), and it's also what the dictionary says, as quoted at this link: http://mathforum.org/library/drmath/view/61774.html
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Re: Every attendee at a monster truck rally paid the same direct
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20 Jun 2019, 11:46
I don’t understand... what you showed us, you can cancel the x. So you can solve for y. Why can’t you plug in for y and solve for x, then solve for n?
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