GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Party Cranberry is 3 parts cranberry juice and 1 part seltze
[#permalink]
19 Aug 2018, 03:00
19 Aug 2018, 03:00
2
Expert Reply
6
Bookmarks
00:00
Question Stats:
38% (01:28) correct
61% (01:21) wrong based on 154 sessions
Hide Show timer Statistics
Party Cranberry is 3 parts cranberry juice and 1 part seltzer. Fancy Lemonade is 1 part lemon juice and 2 parts seltzer. An amount of Party Cranberry is mixed with an equal amount of Fancy Lemonade.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The fraction of the resulting mix that is cranberry juice |
The fraction of the resulting mix that is seltzer |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Party Cranberry is 3 parts cranberry juice and 1 part seltze
[#permalink]
19 Jun 2019, 13:13
19 Jun 2019, 13:13
8
3
Bookmarks
sandy wrote:
Party Cranberry is 3 parts cranberry juice and 1 part seltzer. Fancy Lemonade is 1 part lemon juice and 2 parts seltzer. An amount of Party Cranberry is mixed with an equal amount of Fancy Lemonade.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The fraction of the resulting mix that is cranberry juice |
The fraction of the resulting mix that is seltzer |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
GIVEN:
Party Cranberry is 3 parts cranberry juice and 1 part seltzer
So, for every 4 parts of Party Cranberry, there are 3 parts cranberry juice and 1 part seltzer
In other words, Party Cranberry is 3/4 cranberry juice and 1/4 seltzer
Fancy Lemonade is 1 part lemon juice and 2 parts seltzer.
So, for every 3 parts of Fancy Lemonade, there are 1 part lemon juice and 2 parts seltzer
In other words, Fancy Lemonade is 1/3 lemon juice and 2/3 seltzer
IMPORTANT CONCEPT: If EQUAL VOLUMES of 2 solutions are combined, the concentration of the resulting mixture will be the AVERAGE of the 2 solutions.
Example: If 3 liters of a 10% alcohol solution are combined with 3 liters of a 30% alcohol solution, the resulting solution will be 20% alcohol.
Likewise, if 11 liters of 6% alcohol solution are combined with 11 liters of a 7% alcohol solution, the resulting solution will be 6.5% alcohol.
QUANTITY A: The fraction of the resulting mix that is cranberry juice
Party Cranberry is 3/4 cranberry juice, and Fancy Lemonade is 0/4 cranberry juice
So, the fraction of cranberry juice in the resulting mix = (3/4 + 0/4)/2 = 3/8
QUANTITY B: The fraction of the resulting mix that is seltzer
Party Cranberry is 1/4 seltzer, and Fancy Lemonade is 2/3 seltzer
So, the fraction of seltzer in the resulting mix = (1/4 + 2/3)/2 = (3/12 + 8/12)/2 = (11/12)/2 = 11/24
Since 3/8 < 11/24, the answer is B
Cheers,
Brent
General Discussion
Re: Party Cranberry is 3 parts cranberry juice and 1 part seltze
[#permalink]
11 Oct 2019, 01:02
11 Oct 2019, 01:02
4
You can also do this in whole relationship :
Party Cranebery ----> 3:1 -----Sum the parts which will be equal to (3+1) ---- 4
Fancy Lemonade -----> 1:2 ------------------------------------------(1+2) ---- 3
common multiple of both = 12.
party craneberry *3 and fancy * 4
party --> 9 : 3
fancy --> 4 : 8
quantity B is bigger cause seltzer is 11 parts greater than craneberry which 9 parts.
Party Cranebery ----> 3:1 -----Sum the parts which will be equal to (3+1) ---- 4
Fancy Lemonade -----> 1:2 ------------------------------------------(1+2) ---- 3
common multiple of both = 12.
party craneberry *3 and fancy * 4
party --> 9 : 3
fancy --> 4 : 8
quantity B is bigger cause seltzer is 11 parts greater than craneberry which 9 parts.
