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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 20 Mar 2020, 14:14
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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

Show Spoiler
How can we solve this question using Mixture Diagram?

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GMATBusters
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 22 Mar 2020, 03:01
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Alligation approach is not recommended for this question:
The advantage of Alligation method is that it eliminates the need of making equations involving variables.
but in this question, the ratio is already given, so the Alligation method losses his advantage.
But as requested, I am sending the solution using the Alligation approach.



simonden4
GMATBusters
[textarea]Alligation is a rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.


The advantage of this method is that it eliminates the need of making equations involving variables.
but in this question, the ratio is already given, so the Alligation method losses his advantage.
The Alligation approach can be used now also, but it will lead to equations and hence will be similar to the solution posted above.
If you want me to solve using alligation, let me know.


simonden4
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

How can we solve this question using Mixture Diagram?

Sir, are you familiar with Mixture Diagrams and can you apply that approach to this question?
Show Spoiler
Attachment:
The attachment Capture.JPG is no longer available
Show more

Sir, I tried the Alligation approach but couldn't get to the right answer. I'm just curious to see what mistake I'm making. If you could show me the right answer through the method of Alligation, I'd be extremely grateful.[/quote]
Show Spoiler
Attachment:
WhatsApp Image 2020-03-22 at 3.27.34 PM.jpeg
WhatsApp Image 2020-03-22 at 3.27.34 PM.jpeg [ 81.43 KiB | Viewed 5340 times ]
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 21 Mar 2020, 01:11
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Given:

Sample 1: 240 gram cup of drip coffee, which contains 124 mg of caffeine, --> 60gm will contain 1/4th or 31 mg caffeine

Sample 2: 60 gram cup of espresso, containing 160 mg of caffeine.

Ques: 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?

Means 60gm Coffee + 60gm espresso.

Caffeine in new mixture: 31 + 160 = 191 mg

Option D
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 21 Mar 2020, 01:27
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for 240 gram cup 124 mili gram caffeine is there so 60 gram will have 31 mg caffiene , similarly 60 gram expresso will have 169 mg caffiene , thus total caffeine is 160 +31 =191
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 21 Mar 2020, 01:34
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120 gm cup will have 60 gm coffee(50%) and 60 gm espresso(50%)
240 gm coffee has 124 mg caffeine thus,
60(240/4) gm coffee will have 31(124/4) mg caffeine
and 60 gm espresso has 160 mg caffeine
so the new drink will have 31+160 =191 mg caffeine.
ANSWER :D
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 21 Mar 2020, 09:44
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prathyushaR
120 gm cup will have 60 gm coffee(50%) and 60 gm espresso(50%)
240 gm coffee has 124 mg caffeine thus,
60(240/4) gm coffee will have 31(124/4) mg caffeine
and 60 gm espresso has 160 mg caffeine
so the new drink will have 31+160 =191 mg caffeine.
ANSWER :D
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Can you please solve this using a mixture diagram? I just want to see how we'll solve this through that because I've recently learnt that technique.
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 21 Mar 2020, 09:46
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simonden4
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

How can we solve this question using Mixture Diagram?
Show more

GMATBusters Sir, are you familiar with Mixture Diagrams and can you apply that approach to this question?
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 21 Mar 2020, 21:07
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Alligation is a rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.


The advantage of this method is that it eliminates the need of making equations involving variables.
but in this question, the ratio is already given, so the Alligation method losses his advantage.
The Alligation approach can be used now also, but it will lead to equations and hence will be similar to the solution posted above.
If you want me to solve using alligation, let me know.


simonden4
simonden4
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

How can we solve this question using Mixture Diagram?

GMATBusters Sir, are you familiar with Mixture Diagrams and can you apply that approach to this question?
Show more
Show Spoiler
Attachment:
Capture.JPG
Capture.JPG [ 37.13 KiB | Viewed 5261 times ]
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simonden4
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 22 Mar 2020, 02:25
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GMATBusters
[textarea]Alligation is a rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.


The advantage of this method is that it eliminates the need of making equations involving variables.
but in this question, the ratio is already given, so the Alligation method losses his advantage.
The Alligation approach can be used now also, but it will lead to equations and hence will be similar to the solution posted above.
If you want me to solve using alligation, let me know.


simonden4
simonden4
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

How can we solve this question using Mixture Diagram?

Sir, are you familiar with Mixture Diagrams and can you apply that approach to this question?
Show Spoiler
Attachment:
Capture.JPG
Show more

Sir, I tried the Alligation approach but couldn't get to the right answer. I'm just curious to see what mistake I'm making. If you could show me the right answer through the method of Alligation, I'd be extremely grateful.
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 22 Mar 2020, 10:46
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GMATBusters
Alligation approach is not recommended for this question:
The advantage of Alligation method is that it eliminates the need of making equations involving variables.
but in this question, the ratio is already given, so the Alligation method losses his advantage.
But as requested, I am sending the solution using the Alligation approach.



The advantage of this method is that it eliminates the need of making equations involving variables.
but in this question, the ratio is already given, so the Alligation method losses his advantage.
The Alligation approach can be used now also, but it will lead to equations and hence will be similar to the solution posted above.
If you want me to solve using alligation, let me know.


simonden4
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

How can we solve this question using Mixture Diagram?

Sir, are you familiar with Mixture Diagrams and can you apply that approach to this question?
Show more
Show Spoiler
Attachment:
Capture.JPG
[/quote]

Sir, I tried the Alligation approach but couldn't get to the right answer. I'm just curious to see what mistake I'm making. If you could show me the right answer through the method of Alligation, I'd be extremely grateful.[/quote]
Show Spoiler
Attachment:
WhatsApp Image 2020-03-22 at 3.27.34 PM.jpeg
[/quote]

Thank you so much. This was really helpful!
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A Food and Drug lab has two new samples: a 240 gram cup of drip coffee 29 Mar 2026, 11:19
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