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23 Sep 2015, 22:51
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (02:02) correct
38%
(01:29)
wrong
based on 444
sessions
History
Date
Time
Result
Not Attempted Yet
Julie is selling lemonades in two sizes, small and large. Small lemonades cost $0.52 and large lemonades cost $0.58. How many small lemonades did Julie sell?
(1) Julie sold a total of 9 lemonades.
(2) Julie’s total revenue from the sale of lemonades was $4.92
Kudos for a correct solution.
(1) Julie sold a total of 9 lemonades.
(2) Julie’s total revenue from the sale of lemonades was $4.92
Kudos for a correct solution.
05 Oct 2015, 02:29
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Bunuel
VERITAS PREP OFFICIAL SOLUTION:
Now, by the time you take your GMAT you should be able to come up with formulas for these statements pretty quickly:
(1) S + L = 9
(2) .52S + .58L = 4.92
And you should quickly recognize that with two variables and two equations, you will be able to solve for S with both statements together. But that’s a little too easy for a test like the GMAT – especially when there’s a hidden piece of information that you can add to those two statements.
Julie can’t sell 2.75 small lemonades – the values of S and L must be integers. So that should give you pause – if you take both statements together you’re leaving important information on the table. So at this point it pays to see whether the iPhone (statement 2) already has a digital camera (statement 1) embedded in it. Remember – the GMAT is a business test…it will reward you for being efficient with resources and for maximizing your ROI. It is foolish in business to pay $75 for two products when one would accomplish the task for $50; similarly, it’s foolish to blindly pick C in 30 seconds when there’s a decent chance that the answer could be B. And how can you tell? If it were, indeed, an iPhone, you could spend some time playing with it to see if it would do exactly what the camera would. And that’s the goal here.
You know that if you have the statement “ S + L = 9″ you can pair that with statement 2 to solve for S. So try to see whether statement 2 includes that information by “borrowing” it. Could S + L be anything but 9? See if it can be 10:
If she sells 10 (the hypothetical) but still only makes $4.92 (what we know from statement 2) she would have to sell cheaper lemonades to keep the revenue down, so let’s try all 10 at the cheapest price. That’s 10*(.52) = 5.20, which is already too much. There’s no way she can sell 10 or more!
If she sells 8 (another hypothetical) but still brings home $4.92 (what we know from statement 2) she would have to sell more expensive lemonades to make up for the fact that she’s selling fewer items. So let’s try 8 of the most expensive. That’s 8*(.58) = 4.64, which isn’t enough. She can’t sell 8 or less, so we’ve just used statement 2 to prove that it already tells us the information from statement 1. Statement 2 is sufficient alone.
Now, this step is a little tricky for many, but look at what we just did – we had a hunch that we didn’t need to “buy” both statements because one might already have all the features of the other, like the iPhone with the built-in camera. So with those features in mind (S + L = 9) we set out to prove that the second statement included them, by “borrowing” them from statement 1. On tricky Data Sufficiency problems in which a trap answer like C in this case seems far too easy, this is an effective strategy to make sure you only pay for what you need.
General Discussion
24 Sep 2015, 01:14
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Bunuel
Solution:
Statement1 : This can be any combination. Insufficient.
Statement2 : 52s + 58l = 492. Only possible with s=5 and l=4. Sufficient.
Option B
