Last visit was: 18 Dec 2024, 06:21 It is currently 18 Dec 2024, 06:21
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

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

Track
Your Progress

every week, we’ll send you an estimated GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

The ratio, by volume, of soap to alcohol to water in a certa

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [14]
Given Kudos: 26080
Send PM
The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   23 Jul 2020, 07:28
1
Expert Reply
13
Bookmarks
00:00

Question Stats:

49% (02:03) correct 50% (02:19) wrong based on 129 sessions

Hide Show timer Statistics

The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?

A. 50
B. 200
C. 400
D. 625
E. 800
ShowHide Answer
Official Answer
E
Most Helpful Community Reply
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12225 [5]
Given Kudos: 136
Send PM

Top Member of the Month
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   23 Jul 2020, 07:53
3
1
1
Bookmarks
Carcass wrote:
The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?

A. 50
B. 200
C. 400
D. 625
E. 800


S : A : W = 2 : 50 : 100

The solution will be altered so that the ratio of soap to alcohol is doubled
The ORIGINAL ratio is S : A = 2 : 50.
NEW ratio is S : A = 4 : 50

the ratio of soap to water is halved
The ORIGINAL ratio is S : W = 2 : 100
NEW ratio is S : W = 1 : 100


If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
We need to COMBINE our two ratios.
Take S : W = 1 : 100 and create the EQUIVALENT ratio S : W = 4 : 400

We can now combine both ratios to get: S : A : W = 4 : 50 : 400
We want water = 100
So, take S : A : W = 4 : 50 : 400 and rewrite as S : A : W = 8 : 100 : 800

Answer: E

Cheers,
Brent
General Discussion
avatar
B
AjanthaJ
Intern
Intern
Joined: 02 Jan 2021
Posts: 27
Own Kudos [?]: 12 [0]
Given Kudos: 41
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   03 Feb 2021, 04:41
Hi Carcass GreenlightTestPrep

Isn't the ratio of soap to alcohol doubled means doubling both the soap and the alcohol ratio?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [0]
Given Kudos: 26080
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   03 Feb 2021, 05:38
Expert Reply
AjanthaJ wrote:
Hi Carcass GreenlightTestPrep

Isn't the ratio of soap to alcohol doubled means doubling both the soap and the alcohol ratio?


Quote:
The solution will be altered so that the ratio of soap to alcohol is doubled
The ORIGINAL ratio is S : A = 2 : 50.
NEW ratio is S : A = 4 : 50


Just above by GreenlightTestPrep

regards
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12225 [4]
Given Kudos: 136
Send PM

Top Member of the Month
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   03 Feb 2021, 12:21
4
AjanthaJ wrote:
Hi Carcass GreenlightTestPrep

Isn't the ratio of soap to alcohol doubled means doubling both the soap and the alcohol ratio?


Good question.
When it comes to the wording ("the ratio of soap to alcohol is doubled") of this question, it's useful to think of the ratio as a fraction

The original ratio of soap to alcohol is 2:50 (aka 2/50, aka 0.04)
So, in order to DOUBLE the ratio, our goal is to get a fraction that is TWICE the value of 2/50
In other words, we want the ratio to become 4/50

Does that help?
avatar
B
AjanthaJ
Intern
Intern
Joined: 02 Jan 2021
Posts: 27
Own Kudos [?]: 12 [0]
Given Kudos: 41
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   04 Feb 2021, 01:31
GreenlightTestPrep

Thank you sir, now it's understood.
avatar
B
Adewale
Intern
Intern
Joined: 04 Dec 2021
Posts: 28
Own Kudos [?]: 26 [2]
Given Kudos: 24
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   23 Jul 2022, 05:49
2
Initial ratio
Soap : alcohol : water
2 : 50 : 100

Double soap/alcohol ratio becomes 2( 2/50) which gives 4/50

Half soap/water = 1/2( 2/100) to give 2/200. To lowest term = 1/100

So new volume for soap= 4a
water = 50a
For soap and water
soap = y
Water = 100y
for soap
Y= 4a
a= y/4
Substitute for alcohol to give
50a = 12.5y
Volume of alcohol = 100cm3
so 12.5y =100
Y =8
New volume for water = 100y
Since y = 8 answer = 800.
avatar
B
meirwiz
Intern
Intern
Joined: 15 Aug 2022
Posts: 5
Own Kudos [?]: 2 [0]
Given Kudos: 7
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   02 Jan 2023, 23:22
OLD S:A:W = 2:50:100
OLD S/A=2/50 --> 2*S/A --> NEW S/A=4/50 --> IF NEW A=100 --> NEW S=8
OLD S/W=2/100 --> 0.5*S/W --> NEW S/W=1/100 --> SINCE NEW S=8 --> NEW W=800 --> ANSWER (E)
avatar
saadali
Intern
Intern
Joined: 12 Feb 2023
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 4
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   10 Mar 2023, 02:41
Adewale wrote:
Initial ratio
Soap : alcohol : water
2 : 50 : 100

Double soap/alcohol ratio becomes 2( 2/50) which gives 4/50

Half soap/water = 1/2( 2/100) to give 2/200. To lowest term = 1/100

So new volume for soap= 4a
water = 50a
For soap and water
soap = y
Water = 100y
for soap
Y= 4a
a= y/4
Substitute for alcohol to give
50a = 12.5y
Volume of alcohol = 100cm3
so 12.5y =100
Y =8
New volume for water = 100y
Since y = 8 answer = 800.


thanks for the methodical approach. I bolded a statement above that i believe, you meant to say "alcohol = 50a"
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5090
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink] New post   11 Aug 2024, 04:35
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: The ratio, by volume, of soap to alcohol to water in a certa [#permalink]
11 Aug 2024, 04:35
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact