Hi All,

While this is an older question, it emphasizes one of the potential patterns that you'll see on Test Day (and the first solution offered actually makes a MISTAKE that many Test Takers will make)...

We're told that a certain number of $47 tickets and a certain number of $25 tickets were purchased for a concert. We're asked for the number of $47 tickets purchased. This question can be solved with a bit of logic and some 'brute-force' arithmetic.

1) The trip coordinator spent a total of $595 on tickets for the concert.

At first glance, the information in Fact 1 implies that there could be multiple solutions, since we have 2 variables and just one equation: 47X + 25Y = 595. However, there is an important Number Property pattern here that limits the possibilities - the number of $25 tickets will add up to a total that is a MULTIPLE of 25. $595 is NOT a multiple of 25 though, so we will have to find a specific multiple of 47 that completes the equation (and that multiple will have to end in either a 5 or a 0)

(47)(5) = 235... which would leave 595 - 235 = 360 for $25 tickets. That is NOT possible though (360 is NOT a multiple of 25), so this is NOT an option.

(47)(10) = 470... which would leave 595 - 470 = 125 for $25 tickets. That IS possible (125 IS a multiple of 25), so this IS an option.

(47)(15) = 705 .... this is NOT an option (the total is TOO HIGH).

Thus, there's only one solution: 10 $47 tickets and 5 $25 tickets

Fact 1 is SUFFICIENT

2) She bought half as many $25 tickets as $47 tickets.

With Fact 2, we could have....

1 $25 ticket and 2 $47 tickets

2 $25 tickets and 4 $47 tickets

Etc.

Fact 2 is INSUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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