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The cost per pound of tea and coffee were the same in June. In July, t
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06 Apr 2021, 02:33
06 Apr 2021, 02:33
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The cost per pound of tea and coffee were the same in June. In July, the price of coffee shot up by 200% and that of tea dropped by 90%. If in July, a mixture containing equal quantities of tea and coffee costs $4.65 for 3lbs, how much did a pound of tea cost in July?
A. $4
B. $0.1
C. $1
D. $3
E. $1.65
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. $4
B. $0.1
C. $1
D. $3
E. $1.65
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The cost per pound of tea and coffee were the same in June. In July, t
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06 Apr 2021, 05:30
06 Apr 2021, 05:30
1
Carcass wrote:
The cost per pound of tea and coffee were the same in June. In July, the price of coffee shot up by 200% and that of tea dropped by 90%. If in July, a mixture containing equal quantities of tea and coffee costs $4.65 for 3lbs, how much did a pound of tea cost in July?
A. $4
B. $0.1
C. $1
D. $3
E. $1.65
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. $4
B. $0.1
C. $1
D. $3
E. $1.65
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let x = price (PER POUND) of tea in JUNE
So, Let x = price (PER POUND) of coffee in JUNE
Price of tea (PER POUND) in JULY = 0.1x (decrease by 90%).
Price of coffee (PER POUND) in JULY = 3x (increase by 200%).
In July, a mixture containing equal quantities of tea and coffee costs $4.65 for 3 lbs
So, the mixture has 1.5 lbs of tea and 1.5 lbs of coffee
We can write: (cost of 1.5 lbs of tea) + (cost of 1.5 lbs of coffee) = $4.65
So: (1.5)(0.1x) + (1.5)(3x) = 4.65
Factor: 1.5(0.1x + 3x) = 4.65
Divide both sides by 1.5 to get: 0.1x + 3x = 3.1
Simplify: 3.1x = 3.1
So, x = 1
In other words, in JUNE the price of tea and coffee were each $1 per pound.
Since the price of tea in JULY = 0.1x, the price of tea = (0.1)(1) = $0.1 per pound
Answer: B
Cheers,
Brent
Re: The cost per pound of tea and coffee were the same in June. In July, t
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26 Apr 2024, 13:32
26 Apr 2024, 13:32
Hello Carcass, Brent.. I don't seem to understand how a 200% increase in price of coffee (PER POUND) = 3x and 90% decrease in price of tea (PER POUND) in JULY = 0.1x. Please touch more on this. Thanks
