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One gallon of soft drink is made of 40% orange juice and 60% water, ho
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19 May 2021, 05:04
19 May 2021, 05:04
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One gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in to make the orange juice 60% of the soft drink?
A. 0.5
B. 1
C. 1.25
D. 1.5
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 0.5
B. 1
C. 1.25
D. 1.5
E. 2
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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Joined: 10 Apr 2015
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Re: One gallon of soft drink is made of 40% orange juice and 60% water, ho
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19 May 2021, 05:56
19 May 2021, 05:56
1
Carcass wrote:
One gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in to make the orange juice 60% of the soft drink?
A. 0.5
B. 1
C. 1.25
D. 1.5
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 0.5
B. 1
C. 1.25
D. 1.5
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
We can also just apply some logic regarding weighted averages.
IMPORTANT CONCEPT: when we combine EQUAL amounts of two mixtures, the concentration of the resulting mixture will be the AVERAGE of the two mixtures.
For example, if we combine 1 liter of a 10% salt solution with 1 liter of a 40% salt solution, the RESULTING solution will be 25% salt, since (10+40)/2 = 25.
So, If we take 1 gallon of soft drink with 40% orange juice and add an EQUAL amount (1 gallon) of 100% orange juice, then the resulting mixture will be 70% orange juice.
We want the resulting mixture to be 60% orange juice. So, we need to add LESS THAN 1 gallon of 100% orange juice
Check the answer choices . . . only one option (A) is less than 1 gallon.
Answer: A
Re: One gallon of soft drink is made of 40% orange juice and 60% water, ho
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26 Jun 2024, 11:48
26 Jun 2024, 11:48
1
Let gallons of orange juice to be mixed be y, therefore
0.4 + y/1 + y = 3/5
2 + 5y = 3 + 3y
2y = 1
y = 0.5.
Answer A
Adewale Fasipe, quant instructor from Lagos, Nigeria.
0.4 + y/1 + y = 3/5
2 + 5y = 3 + 3y
2y = 1
y = 0.5.
Answer A
Adewale Fasipe, quant instructor from Lagos, Nigeria.
