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# Every student at the Performing Arts Academy (PAA) must take

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Joined: 18 Aug 2011
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Kudos [?]: 7 [0], given: 6

Every student at the Performing Arts Academy (PAA) must take [#permalink]  26 Aug 2011, 01:35
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Difficulty:

5% (low)

Question Stats:

29% (01:30) correct 70% (01:49) wrong based on 17 sessions
Every student at the Performing Arts Academy (PAA) must take at least one of the two drama courses offered, Classical Theater or Improvisation. If 15% of the students who take Classical Theater also take Improvisation, how many students take both Classical Theater and Improvisation?

1) Ten percent of the students who take Improvisation also take Classical Theater

2) The PAA has a total of 450 students
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Joined: 24 Jul 2011
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Kudos [?]: 203 [1] , given: 9

1
KUDOS

0.15 x = 0.10 y

x + y - 0.15x = 450

Solving these two equations, we get 0.15x and 0.10y as decimals.

(E) it is.
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Last edited by GyanOne on 20 Sep 2011, 13:54, edited 1 time in total.
Intern
Joined: 09 Jan 2010
Posts: 4
Location: India
Schools: IIMA
Followers: 0

Kudos [?]: 0 [0], given: 0

To me answer should be C

total number of students took Classical Theater = x
total number of students took Improvisation = y
given .15x also took Improvisation.

statement 1 -> .1 y also took Classical Theater i.e .1y=.15x
statement 2 -> x+y - .15x = 450 (subtracted .15x because we need to remove intersection area between two once)
two equations can be solved to get x and y
Intern
Joined: 06 Jul 2011
Posts: 27
Followers: 1

Kudos [?]: 4 [0], given: 8

parulbhatnagar wrote:
To me answer should be C

total number of students took Classical Theater = x
total number of students took Improvisation = y
given .15x also took Improvisation.

statement 1 -> .1 y also took Classical Theater i.e .1y=.15x
statement 2 -> x+y - .15x = 450 (subtracted .15x because we need to remove intersection area between two once)
two equations can be solved to get x and y

Unless I made a mistake, I'm getting y=187.5. So sincere there's no half students I'd say E, too.
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