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with orchestral pieces

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by sanju09 » Wed May 06, 2009 6:10 am
At a certain concert, choral pieces are performed alternately with orchestral pieces, starting with a choral piece. If there is a total of p pieces performed, and p is an odd integer, how many of the pieces performed are choral?
A. (p + 1)/2
B. (p - 1)/2
C. (p/2) + 1
D. p – ½
E. p/2


OA A
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Re: with orchestral pieces

by Brent@GMATPrepNow » Wed May 06, 2009 8:19 am
sanju09 wrote:At a certain concert, choral pieces are performed alternately with orchestral pieces, starting with a choral piece. If there is a total of p pieces performed, and p is an odd integer, how many of the pieces performed are choral?
A. (p + 1)/2
B. (p - 1)/2
C. (p/2) + 1
D. p – ½
E. p/2
OA A
The quickest strategy would be to try a number for p.
Let's say there are a total of 3 pieces performed (p=3)
So, the order would be (choral)(orchestral)(choral)
We know that when p=3, we have 2 choral pieces
Now plug in 3 for p in each of the answer choices and see which one yields 2 choral pieces.
Only answer choice A yields 2 when we plug in p=3
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