A Food and Drug lab has two new samples: a 240 gram cup of drip coffee, which contains 124 mg of caffeine, and a 60 gram cup of espresso, containing 160 mg of caffeine. If a technician were to create a new 120 gram cup sample that contained 50% coffee and 50% espresso, how many mg of caffeine would the new drink contain?a)111b)121c)142d)191e)382Correct answer is option 'D'. Can you explain this answer?

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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee, which contains 124 mg of caffeine, and a 60 gram cup of espresso, containing 160 mg of caffeine. If a technician were to create a new 120 gram cup sample that contained 50% coffee and 50% espresso, how many mg of caffeine would the new drink contain?

a)
111
b)
121
c)
142
d)
191
e)
382

Correct answer is option 'D'. Can you explain this answer?

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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee...

Understanding the Problem
To find the caffeine content in the new 120 gram cup sample that consists of 50% coffee and 50% espresso, we need to calculate the amount of caffeine contributed by each component.
Caffeine Content in Coffee
- The 240 gram cup of drip coffee contains 124 mg of caffeine.
- To find the caffeine concentration:
Caffeine per gram of coffee = 124 mg / 240 g ≈ 0.517 mg/g
- For a 60 gram portion of coffee (which is half of 120 g):
Caffeine from coffee = 60 g * 0.517 mg/g ≈ 31 mg
Caffeine Content in Espresso
- The 60 gram cup of espresso contains 160 mg of caffeine.
- Caffeine concentration in espresso:
Caffeine per gram of espresso = 160 mg / 60 g ≈ 2.67 mg/g
- For a 60 gram portion of espresso (which is also half of 120 g):
Caffeine from espresso = 60 g * 2.67 mg/g ≈ 160 mg
Total Caffeine in the New Sample
- Now, we sum the caffeine content from both coffee and espresso:
Total caffeine = Caffeine from coffee + Caffeine from espresso
Total caffeine = 31 mg + 160 mg = 191 mg
Conclusion
The new 120 gram cup sample, which contains 50% coffee and 50% espresso, will have a total caffeine content of 191 mg.
Thus, the correct answer is option D: 191 mg.

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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee...

Understanding the Samples
To determine the caffeine content of the new 120-gram cup that is 50% coffee and 50% espresso, we first need to analyze the caffeine concentration in each original drink.
Caffeine in Drip Coffee
- Drip Coffee Weight: 240 grams
- Caffeine Content: 124 mg
Caffeine concentration in drip coffee:
Caffeine per gram = 124 mg / 240 g = 0.5167 mg/g
Caffeine in Espresso
- Espresso Weight: 60 grams
- Caffeine Content: 160 mg
Caffeine concentration in espresso:
Caffeine per gram = 160 mg / 60 g = 2.6667 mg/g
Calculating Caffeine in the New Sample
Since the new drink is a 120-gram mix of 50% coffee and 50% espresso, we have:
- Weight of Coffee: 120 g * 0.5 = 60 grams
- Weight of Espresso: 120 g * 0.5 = 60 grams
Caffeine from Coffee
Caffeine from 60 grams of coffee:
Caffeine = 60 g * 0.5167 mg/g = 31 mg
Caffeine from Espresso
Caffeine from 60 grams of espresso:
Caffeine = 60 g * 2.6667 mg/g = 160 mg
Total Caffeine in the New Drink
Total caffeine in the 120-gram drink:
Total Caffeine = Caffeine from Coffee + Caffeine from Espresso
Total Caffeine = 31 mg + 160 mg = 191 mg
Conclusion
Therefore, the new drink contains 191 mg of caffeine, which corresponds to option 'D'.

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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee, which contains 124 mg of caffeine, and a 60 gram cup of espresso, containing 160 mg of caffeine. If a technician were to create a new 120 gram cup sample that contained 50% coffee and 50% espresso, how many mg of caffeine would the new drink contain?a)111b)121c)142d)191e)382Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A Food and Drug lab has two new samples: a 240 gram cup of drip coffee, which contains 124 mg of caffeine, and a 60 gram cup of espresso, containing 160 mg of caffeine. If a technician were to create a new 120 gram cup sample that contained 50% coffee and 50% espresso, how many mg of caffeine would the new drink contain?a)111b)121c)142d)191e)382Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Food and Drug lab has two new samples: a 240 gram cup of drip coffee, which contains 124 mg of caffeine, and a 60 gram cup of espresso, containing 160 mg of caffeine. If a technician were to create a new 120 gram cup sample that contained 50% coffee and 50% espresso, how many mg of caffeine would the new drink contain?a)111b)121c)142d)191e)382Correct answer is option 'D'. Can you explain this answer?.

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