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09 Dec 2013, 00:19
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
61% (02:24) correct
39%
(02:03)
wrong
based on 436
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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.
(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.
09 Dec 2013, 01:04
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Qoofi
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.
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.
09 Dec 2013, 01:16
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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.
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.
