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Difficulty:
25%
(medium)
Question Stats:
74% (01:39) correct
27%
(01:58)
wrong
based on 200
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A 30-ounce pitcher is currently filled to exactly half its capacity with a lemonade mixture consisting of equal amounts of two lemonade brands—A and B. If the pitcher is then filled to capacity to conform to a certain recipe, how many ounces of each lemonade brand must be added to fill the pitcher?
(1) The recipe calls for a mixture that includes 60 percent brand A.
(2) When filled to capacity, the pitcher contains 12 ounces of brand B.
(1) The recipe calls for a mixture that includes 60 percent brand A.
(2) When filled to capacity, the pitcher contains 12 ounces of brand B.
Source: Master GMAT
31 Jan 2020, 01:11
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SajjadAhmad
A 30-ounce pitcher is currently filled to exactly half its capacity with a lemonade mixture consisting of equal amounts of two lemonade brands—A and B. If the pitcher is then filled to capacity to conform to a certain recipe, how many ounces of each lemonade brand must be added to fill the pitcher?
(1) The recipe calls for a mixture that includes 60 percent brand A.
(2) When filled to capacity, the pitcher contains 12 ounces of brand B.
(1) The recipe calls for a mixture that includes 60 percent brand A.
(2) When filled to capacity, the pitcher contains 12 ounces of brand B.
Source: Master GMAT
Solution
- • The capacity of Pitcher = \(30\) ounces
- o Pitcher is half-filled
- It means \(15\) ounces of the pitcher is already filled.
- o Now, the pitcher contains an equal amount of lemonade A and B.
- Amount of Lemonade A in Pitcher =\(\frac{ 15}{2 }= 7.5\) ounce.
Amount of lemonade B in pitcher =\( \frac{15}{2} = 7.5\) ounce.
- • Total amount of lemonade A = \(\frac{60}{100} *30 = 18\) ounce.
- o Total amount of lemonade B = \(30 – 18 = 12\) ounce.
• Amount of lemonade B needs to be added =\( 12 – 7.5 = 4.5\) ounce.
Statement 2:
- • Total amount of lemonade B = \(12\) ounce.
- o Total amount of lemonade A = \(30 – 12 = 18\) ounce.
• Amount of lemonade B needs to be added = \(12 – 7.5 = 4.5\) ounce.
31 Jan 2020, 20:04
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SajjadAhmad
A 30-ounce pitcher is currently filled to exactly half its capacity with a lemonade mixture consisting of equal amounts of two lemonade brands—A and B. If the pitcher is then filled to capacity to conform to a certain recipe, how many ounces of each lemonade brand must be added to fill the pitcher?
(1) The recipe calls for a mixture that includes 60 percent brand A.
(2) When filled to capacity, the pitcher contains 12 ounces of brand B.
(1) The recipe calls for a mixture that includes 60 percent brand A.
(2) When filled to capacity, the pitcher contains 12 ounces of brand B.
Source: Master GMAT
This is a bit strange as a Data Sufficiency problem. It almost seems like it's supposed to be a Problem Solving problem instead. But let's go ahead and solve it like DS.
We currently have a 30oz pitcher that's half full of lemonade, and that lemonade is evenly split between A and B. The question asks how much of each type of lemonade will be added to the pitcher. In other words, how much of the next 15oz will be A, and how much will be B?
Statement 1: This tells you the exact amount of A that will end up in the pitcher once it's full (60 percent of 30oz). You could subtract the current amount of A that's in the pitcher, from this value, to figure out exactly how much A has to be added. Since the pitcher is being filled completely, the remainder of the 15oz will be B. Therefore, this statement lets you determine (if you wanted to!) how much of each brand will be added. It's sufficient.
Statement 2: This tells you the exact amount of B that will end up in the pitcher once it's full. Given what we know, we could also figure out how much B is currently in the pitcher. So, we could calculate the amount that has to be added. And since we know how much of A and B are being added in total together (15oz), we could also calculate the amount of A. So, this statement is sufficient.
The correct answer is D.
