Last visit was: 23 Apr 2024, 22:46 It is currently 23 Apr 2024, 22:46

GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Glass A and glass B both contain a mixture of alcohol and water. The

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618645 [18]
Given Kudos: 81563
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Own Kudos [?]: 2769 [4]
Given Kudos: 1510
Location: India
GPA: 4
WE:Analyst (Internet and New Media)
Intern
Joined: 12 Jun 2020
Posts: 29
Own Kudos [?]: 17 [0]
Given Kudos: 96
Senior Manager
Joined: 18 Feb 2020
Posts: 288
Own Kudos [?]: 175 [0]
Given Kudos: 30
Location: India
GMAT 1: 660 Q50 V29
GPA: 3
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
Ratio of alcohol and water in A = 1/3
Ratio of alcohol and water in B = 1/9

Since each contains 40 ounces, the more appropriate representation of ratio is
A=10/30 (10 ounces alcohol, 30 ounces water)
B=4/36 (4 ounces alcohol, 36 ounces water)

Now, 8 ounces (2+6) are taken from A and poured in B.
New ratios: A=8/24;B=6/42

Again, 16 ounces (2+14) are taken from B and poured in A.
New ratios: A=10/38;B=4/28.

Therefore, the new ratio of alcohol and water in A = 10/38=5/19.

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 8018
Own Kudos [?]: 4095 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
total qty ; 40 each in A & B
so Alcohol in A ; 1/4*40 ; 10 and water ; 30
& alcohol in B ; 1/10 * 40 ; 4 and water ; 36
now given that 8 ounces is transferred from A to B
i.e 8 *1/4 ; 2 parts Alcohol and 6 parts water
which makes solution B ; 6 parts alcohol and 42 parts water ; total 48
6/42 ; 1:7 ;
now 16 ounces is added to A solution i.e 8 parts alcohol + 24 parts water
16 ounces comprises of 16*1/8 ; 2 parts alchol and 2*7 ; 14 parts water
which will make solution A; 8+2 ; 10 and 24+14 ; 38
10:38 ; 5:19
OPTION C

Glass A and glass B both contain a mixture of alcohol and water. The ratio of alcohol to water in glass A is 1 to 3. The ratio of alcohol to water in glass B is 1 to 9. 8 ounces of the mixture in glass A is taken and mixed into glass B. Then, 16 ounces of the mixture in glass B is taken and mixed into glass A. If both glasses originally contained 40 ounces of mixture, what is the final ratio of alcohol to water in glass A?

A. 1:7
B. 2:7
C. 1:3
D. 5:19
E. 10:27
Intern
Joined: 28 Jan 2019
Posts: 37
Own Kudos [?]: 30 [0]
Given Kudos: 53
Location: India
GMAT 1: 650 Q49 V31 (Online)
WE:Other (Education)
Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
Original composition of A= Water-10 Alcohol-30 [ratio=1:3]

Original composition of B= Water-4 Alcohol-36[ratio=1:9]

First shift (A to B)-

2 units of water and 6 units of alcohol will be moved from A to B.

New composition of B- 6 units of water and 42 units of alcohol [new ratio-1:7]

Second shift (B to A)-

2 units of water and 14 units of Alcohol [total 16 units in ratio of 1:7]

New composition of A= 10-2+2= 8 units of water and 30-6+14=38 units of alcohol.
New ratio= 10:38 or 5:19

Intern
Joined: 25 May 2020
Posts: 34
Own Kudos [?]: 21 [1]
Given Kudos: 6
Location: India
GPA: 4
WE:Investment Banking (Venture Capital)
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
1
Kudos
Step 1:
Mixture A: 10 ounces alcohol, 30 ounces water
Mixture B: 4 ounces alcohol, 36 ounces water

Step 2:
Since removal of mixture will cause a decline in the amounts of alcohol and water in their respective ratios in the mixture
Mixture A: 8 ounces alcohol, 24 ounces water
Mixture B: 6 ounces alcohol, 42 ounces water

Step 3:
Since removal of mixture will cause a decline in the amounts of alcohol and water in their respective ratios in the mixture
Mixture A: 10 ounces alcohol, 38 ounces water
Mixture B: 4 ounces alcohol, 28 ounces water

Final Ratio: 10:38 = 5:19
Manager
Joined: 04 May 2020
Posts: 119
Own Kudos [?]: 17 [1]
Given Kudos: 25
Location: Italy
Schools: IESE'23
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
1
Kudos
The ratio of alcohol to water in glass A is 1 to 3
The ratio of alcohol to water in glass B is 1 to 9
Both glasses originally contained 40 ounces of mixture

A: 10 - 30 = 40
B: 4 - 36 = 40
8 ounces of the mixture in glass A is taken and mixed into glass B
A: 8 - 24 = 32
B: 6 - 42 = 48
16 ounces of the mixture in glass B is taken and mixed into glass A
A: 10 - 38 = 48 -> 5A to 19W = final ratio of alcohol to water in glass A
B: 4 - 28 = 32

GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7624 [2]
Given Kudos: 215
Location: India
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
2
Kudos
Top Contributor
Initial Amounts in A

Alcohol = $$\frac{1}{4}$$ * 40 = 10 ounces

Water = $$\frac{3}{4}$$ * 40 = 30 ounces

Initial Amounts in B

Alcohol= $$\frac{1}{10}$$ * 40 = 4 ounces

Water = $$\frac{9}{10}$$ * 40 = 36 ounces

Round 1:

8 ounces of liquid from A is transferred to B.

Alcohol in 8 ounces = $$\frac{1}{4}$$ * 8 = 2 ounces

Water in 8 ounces = $$\frac{3}{4}$$ * 8 = 6 ounces water.

Remaining liquid in A = 10 - 2 = 8 ounces of Alcohol and 30 - 6 = 24 ounces of Water. (Ratio is 1 :3)

Quantities in B after transfer = 4 + 2 = 6 ounces of alcohol and 36 + 6 = 42 ounces of water. (Ratio = 1 :7)

Round 2:

16 ounces of the 1:7 ratio liquid from B is transferred to A

Amount of Alcohol in 16 ounces = $$\frac{1}{8}$$ * 16 = 2 ounces

Water in 16 ounces = $$\frac{7}{8}$$ * 16 = 14 ounces

Amounts of liquid in A after the transfer:

Alcohol = 8 + 2 = 10 ounces

Water = 24 + 14 = 38 ounces

Therefore the ratio of Alcohol : Water in A = 10 : 38 = 5 : 19

Option D

Arun Kumar
Manager
Joined: 23 Jan 2020
Posts: 239
Own Kudos [?]: 143 [1]
Given Kudos: 467
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
1
Kudos
Glass A and glass B both contain a mixture of alcohol and water. The ratio of alcohol to water in glass A is 1 to 3. The ratio of alcohol to water in glass B is 1 to 9. 8 ounces of the mixture in glass A is taken and mixed into glass B. Then, 16 ounces of the mixture in glass B is taken and mixed into glass A. If both glasses originally contained 40 ounces of mixture, what is the final ratio of alcohol to water in glass A?

A. 1:7
B. 2:7
C. 1:3
D. 5:19
E. 10:27

A glass:
1:3 -> 8 ounces
2:6

B glass:
1:9 -> 40 ounces
4:36 + 2:6
6:42
1:7 -> 48 ounces

2:14 -> 16 ounces
into glass A

1:3 -> 32 ounces
8:24 -> 32 ounces
10:38 ->48 ounces
5:19

Ans D
Non-Human User
Joined: 09 Sep 2013
Posts: 32637
Own Kudos [?]: 821 [0]
Given Kudos: 0
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: Glass A and glass B both contain a mixture of alcohol and water. The [#permalink]
Moderators:
Math Expert
92883 posts
Senior Moderator - Masters Forum
3137 posts