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## Source - GMAT(OG) - 2nd Edition - Question 146

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shanice Really wants to Beat The GMAT!
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Source - GMAT(OG) - 2nd Edition - Question 146 Mon Jul 30, 2012 9:44 pm
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?

a)33 1/3%
b)40%
c)50%
d)60%
e)66 2/3%

Can someone please explain to me what is the connection of sentence 1 to sentence 2?

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eagleeye GMAT Destroyer!
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Mon Jul 30, 2012 10:10 pm
shanice wrote:
On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?

a)33 1/3%
b)40%
c)50%
d)60%
e)66 2/3%

Can someone please explain to me what is the connection of sentence 1 to sentence 2?

Let's say there were 100 passengers on the ship. Let the number of round trip ticket holders be x.
We need to find x.
Statement 1 tells us that 20 people had round-trip tickets and had cars aboard the ship.

Statement 2 tells us that 60% of x did not take cars aboard the ship. If 60% did not take cars aboard the ship, 40% of x must have taken the cars aboard the ship. This is where the connection occurs. In statement 2 we determine that 40%x have round-trip tickets and cars aboard the ship.
Statement 1 tells us that 20 people had round tickets and cars aboard the ship.
Since both 1 and 2 talk about the same quantity, we can equate one with the other to find x.

so:

40%x = 20
x = 20/(40%) = 20*100/40 = 50.

Hence 50% of the passengers had round trip tickets.

C is correct.

Thanked by: shanice
shanice Really wants to Beat The GMAT!
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Mon Jul 30, 2012 10:53 pm
Eagleeye, that was a perfect explanation. I could not ask for more.

Thank you.

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