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13 Oct 2021, 08:30
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
82% (02:04) correct
18%
(02:04)
wrong
based on 88
sessions
History
Date
Time
Result
Not Attempted Yet
Lily can either buy oranges at $3 per dozen or buy a basket that contains x oranges for $20. If Lily needs 2x oranges, is it more economical for Lily to buy the basket?
(1) At $2 per dozen, it will cost Lily $30 to buy x+84 oranges
(2) At $4 per dozen, it will cost Lily $40 to buy x+24 oranges
(1) At $2 per dozen, it will cost Lily $30 to buy x+84 oranges
(2) At $4 per dozen, it will cost Lily $40 to buy x+24 oranges
13 Oct 2021, 13:30
Kudos
Bookmarks
Bunuel
Rephrase the question:
> Is \(\frac{3}{12}*2x\) or $40 more worth?
> Is \(\frac{3}{12}*2x > 40\)?
> Is \(x > 80\)?
Statement 1 Alone:
> The long method:
> We since $2 is one dozen, $30 is equivalent to 15 dozens, which is \(15*12 = 180\) oranges. Then \(180 = x + 84\) and we can find x = 96 > 80; hence this is sufficient.
> The shortcut:
> We may identify this sentence as a solvable LINEAR equation, which will give us a unique solution for x. Therefore this is sufficient.
Statement 2 Alone:
> The long method:
> We since $4 is one dozen, $40 is equivalent to 10 dozens, which is \(10*12 = 120\) oranges. Then \(120 = x + 24\) and we can find x = 96 > 80; hence this is sufficient.
> The shortcut:
> We apply the same method as in Statement 1 (either one works). Therefore we should arrive at the same conclusion as in Statement 1, which is this statement alone is sufficient.
Answer: D
