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Quote:

­Rachel throws a cocktail party for her friends. At the party, she serves martinis, screwdrivers, and boilermakers. How many martinis did Rachel serve at the party?

(1) Rachel served martinis, screwdrivers, and boilermakers in a ratio of 5:7:9 respectively.
(2) Rachel served a total of 35 screwdrivers.

Statement 1: Rachel served martinis, screwdrivers, and boilermakers in a ratio of 5:7:9 respectively.
We are not sure if Rachel served 5 martinis, 7 screwdrivers, 9 boilermakers OR 10 martinis, 14 screwdrivers, 18 boilermakers.
Hence, we are not sure of anything using this statement. Hence, this statement is not enough.

Statement 2: Rachel served a total of 35 screwdrivers.
Okay, we know the number of screwdrivers but no information is provided about martinis. I don't know what to do with this information. Hence, we are not sure of anything using this statement. Hence, this statement is not enough.

But if we combine the statements,
(1) Rachel served martinis, screwdrivers, and boilermakers in a ratio of 5:7:9 respectively.
(2) Rachel served a total of 35 screwdrivers.


7x = 35
Using this, you can find value of 5x and 9x. Add them and we get the number of drinks.

BOTH STATEMENTS TOGETHER, BUT NO STATEMENT ALONE IS ENOUGH.
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