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For a certain concert, the price of balcony tickets was exac

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For a certain concert, the price of balcony tickets was exac

by Mike@Magoosh » Mon Sep 16, 2013 12:47 pm
For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of orchestra to balcony tickets sold was 3:2. What was the price of one orchestra ticket?

Statement (1): the total revenue taken in from tickets of both kinds was $4200

Statement (2): the difference between the number of orchestra tickets sold and the number of balcony tickets sold was 40

For a discussion of ratios & proportions on the GMAT, as well as the OA & an explanation for this particular question, see:
https://magoosh.com/gmat/2013/gmat-quant ... oportions/

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by theCodeToGMAT » Mon Sep 16, 2013 8:28 pm
The Answer must be "C"
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by sanju09 » Wed Sep 18, 2013 12:02 am
Mike@Magoosh wrote:For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of orchestra to balcony tickets sold was 3:2. What was the price of one orchestra ticket?

Statement (1): the total revenue taken in from tickets of both kinds was $4200

Statement (2): the difference between the number of orchestra tickets sold and the number of balcony tickets sold was 40

For a discussion of ratios & proportions on the GMAT, as well as the OA & an explanation for this particular question, see:
https://magoosh.com/gmat/2013/gmat-quant ... oportions/

Mike :-)
We know that B = ½ O, we also know that 3x orchestra tickets and 2x balcony tickets had been sold, where x is a positive integer.

We need to find the value of O. For this, we must require value of B, or we could require value of x with some additional figures. Let's see what St (I) has in store.

I. It translates to B (2x) + O (3x) = 4200,

since B = ½ O, it reduces to Ox + 3Ox = 4200

or 4Ox = 4200 or Ox = 1050.

Can we find O? nO! Let's get rid of A, D.

II. It translates to x = 40. Can we find O? nO! Let's get rid of B also.

When taken together, [spoiler]with the values of Ox and x in hand, we can definitely find O. Hence sufficient

Take C
[/spoiler][spoiler][/spoiler]
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