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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (01:37) correct
24%
(02:02)
wrong
based on 70
sessions
History
Date
Time
Result
Not Attempted Yet
A bartender is mixing soda water, which contains 8% syrup, with fruit punch, which contains 24% syrup, to create a drink that is 12% syrup. How many liters of fruit punch are in the final mixture?
(1) The final mixture contains 20 liters.
(2) The fruit punch makes up 1/4 of the final mixture.
(1) The final mixture contains 20 liters.
(2) The fruit punch makes up 1/4 of the final mixture.
10 May 2025, 22:30
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Official Solution:
A bartender is mixing soda water, which contains 8% syrup, with fruit punch, which contains 24% syrup, to create a drink that is 12% syrup. How many liters of fruit punch are in the final mixture?
Given that the distance of soda’s syrup concentration (8%) from the average (12%) is 4, and the distance of punch’s concentration (24%) from the average is 12, the distance ratio is 4:12 = 1:3. Therefore, the quantity of soda to punch in the final mixture must be in the reverse ratio of 3:1.
(1) The final mixture contains 20 liters.
Since the soda-to-punch ratio in the final mixture is 3:1, punch makes up 1/4 of the total. So, punch = 1/4 *20 = 5 liters. Sufficient.
(2) The fruit punch makes up 1/4 of the final mixture.
Since we already determined from the stem that the soda-to-punch ratio is 3:1, we could derive the above relationship from the stem alone, so this info is redundant and adds nothing new. Not sufficient.
Answer: A
A bartender is mixing soda water, which contains 8% syrup, with fruit punch, which contains 24% syrup, to create a drink that is 12% syrup. How many liters of fruit punch are in the final mixture?
Given that the distance of soda’s syrup concentration (8%) from the average (12%) is 4, and the distance of punch’s concentration (24%) from the average is 12, the distance ratio is 4:12 = 1:3. Therefore, the quantity of soda to punch in the final mixture must be in the reverse ratio of 3:1.
(1) The final mixture contains 20 liters.
Since the soda-to-punch ratio in the final mixture is 3:1, punch makes up 1/4 of the total. So, punch = 1/4 *20 = 5 liters. Sufficient.
(2) The fruit punch makes up 1/4 of the final mixture.
Since we already determined from the stem that the soda-to-punch ratio is 3:1, we could derive the above relationship from the stem alone, so this info is redundant and adds nothing new. Not sufficient.
Answer: A
General Discussion
01 May 2025, 11:38
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Bunuel
The question mentions the syrup percentage in Soda water (8%) , and in fruit punch (24%) . Combined together they created a drink with syrup content 12%.
Using mixtures and allegations.
8% ————- 12%—————24%
12%. : 4%
Soda water : Fruit punch = 3:1
Statement 1:
(1) The final mixture contains 20 liters.
Soda water : Fruit punch = 3:1 = 4x
given 4x = 20 , hence x = 5 litres.
Fruit punch = 5 litres.
Hence, Sufficient
Statement 2:
(2) The fruit punch makes up 1/4 of the final mixture.
This statement is same as the question stem.
we have already derived, Soda water : Fruit punch = 3:1
The total litres can be 20, 100, or any other value.
Hence, Insufficient
option A
