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Every attendee at a monster truck rally paid the same direct

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Every attendee at a monster truck rally paid the same direct [#permalink]

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New post 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 two-thirds as many people had attended, the total admission fees collected would have been 150% of the actual admission fees collected.
[Reveal] Spoiler: OA

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Re: Every attendee at a monster truck rally paid the same direct [#permalink]

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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 two-thirds 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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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 two-thirds 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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New post 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?

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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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New post 04 Mar 2015, 01:19
Dear Bunuel

You 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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New post 04 Mar 2015, 03:34
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Tanvr wrote:
Dear Bunuel

You 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 [#permalink]

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New post 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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New post 26 Mar 2016, 03:40
hey Bunuel
i 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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New post 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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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 = 3x


Hope it clears the doubt

Regards,
Chetan
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Every attendee at a monster truck rally paid the same direct [#permalink]

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New post 27 Apr 2016, 20:48
Cool ..! I get the difference now .!

Regards
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New post 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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New post 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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New post 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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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 two-thirds 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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