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01 May 2025, 05:28
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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.
01 May 2025, 05:28
Kudos
Bookmarks
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
