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# All of the tickets for 2 music concerts, X and Y, were

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Manager
Joined: 03 Mar 2007
Posts: 157
All of the tickets for 2 music concerts, X and Y, were  [#permalink]

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22 Jun 2007, 13:12
1
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:00) correct 35% (01:06) wrong based on 62 sessions

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All of the tickets for 2 music concerts, X and Y, were either purchased or given away, and the ratio of X tickets to Y was 2 to 1. Of the total number of X tickets and Y tickets, what percentage was purchased?

(1) The total number of X tickets and Y tickets, is 240.
(2) Of the X tickets, exactly 60% were purchased, and of the Y tickets, exactly 80% were purchased.

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Current Student
Joined: 03 Oct 2006
Posts: 80

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22 Jun 2007, 14:26
Himalayan wrote:
salr15 wrote:
All of the tickets for 2 music concerts, X and Y, were either purchased or given away, and the ratio of X tickets to Y was 2 to 1. Of the total number of X tickets and Y tickets, what percentage was purchased?

1) The total number of X tickets and Y tickets, is 240.

2) Of the X tickets, exactly 60% were purchased, and of the Y tickets, exactly 80% were purchased.

B.

I think I'll always be 2 steps behind you Himalayan. Sometimes 3.

S1: Just tells you the total number of tickets. Insufficient
S2: I worked out this equation.

2x = # of X tickets sold
x = # of Y tickets sold
[.6(2x) + .8(x)]/(2x + x) = 2.0x/3.0x = 2/3 = 66% total tickets purchased.

Non-Human User
Joined: 09 Sep 2013
Posts: 11013
Re: All of the tickets for 2 music concerts, X and Y, were  [#permalink]

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31 Jul 2017, 11:07
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This discussion does not meet community quality standards. It has been retired.

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Re: All of the tickets for 2 music concerts, X and Y, were   [#permalink] 31 Jul 2017, 11:07
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