NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 22:39 It is currently 25 Apr 2024, 22:39
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If Adrian mixes 15 liters of saline solution A with 5 liters of a 40%

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
AkshdeepS
VP
VP
Joined: 13 Apr 2013
Status:It's near - I can see.
Posts: 1479
Own Kudos [?]: 1603 [9]
Given Kudos: 1002
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Send PM
Reviews Badge
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   29 Dec 2017, 09:58
9
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

79% (01:50) correct 21% (02:15) wrong based on 344 sessions
Hide Show timer Statistics
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25
ShowHide Answer
Official Answer
D
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35491 [2]
Given Kudos: 9464
Send PM
CAT Tests
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   29 Dec 2017, 11:32
2
Kudos
Expert Reply
QZ wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25

Let x/100 = unknown percent saline in solution A
% = percent saline in each solution

(% A)(Vol A) + (% B)(Vol B) = (% A+B)(Vol A+B)

\(\frac{x}{100}(15) + .40(5) = .25(15 + 5)\)

\(\frac{15}{100}x + 2 = 5\)

\(\frac{15}{100}x= 3\)

\(x = (3 * \frac{100}{15}) = 20\)

Answer D
User avatar
S
Leo8
Manager
Manager
Joined: 23 May 2017
Posts: 192
Own Kudos [?]: 359 [3]
Given Kudos: 9
Concentration: Finance, Accounting
WE:Programming (Energy and Utilities)
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   29 Dec 2017, 10:03
1
Kudos
1
Bookmarks
\(\frac{x}{100}\)* 15 + \(\frac{40}{100}\)* 5 = \(\frac{25}{100}\) * 20

\(\frac{x}{100}\) * 15 + 2 = 5

\(\frac{x}{100}\) = \(\frac{3}{15}\)

x = 20 %
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16842 [4]
Given Kudos: 165
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   31 Dec 2017, 11:38
1
Kudos
3
Bookmarks
Expert Reply
QZ wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25



Ratio in which Solution A and Other solution was mixed = 15: 5 = 3: 1

Saline Concentration of Solution A = x

Saline Concentration of Other Solution = 40%

Overall Concentration = 25%

Using Alligation we can write -

(40-25): ( 25 - x) = 3: 1

15 = 75 - 3x

3x = 60

x = 20%

Correct Answer is Option D.


Regards,
Saquib
e-GMAT
Quant Expert
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1072
Own Kudos [?]: 1561 [0]
Given Kudos: 27
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   31 Dec 2017, 13:03
QZ wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25


let x=saline % of A
15*x+5*.4=20*.25
x=1/5=20%
D
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   06 Jun 2019, 18:05
Expert Reply
AkshdeepS wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25


Let solution A be an x% saline solution; we can create the equation:

15(x/100) + 5(0.4) = 0.25(15 + 5)

15x/100 + 2 = 5

15x/100 = 3

15x = 300

x = 20

Answer: D
avatar
B
pearljiandani
Intern
Intern
Joined: 21 Oct 2019
Posts: 23
Own Kudos [?]: 7 [0]
Given Kudos: 22
Location: India
Schools: Kellogg '25 (M$) Ross '25 (A$)
GMAT 1: 720 Q49 V39
GPA: 3.64
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   21 Nov 2020, 04:14
VeritasKarishma
If I solve this with your method, I'm not getting the correct answer -

w1/w2 = a2 - Avg / Avg - a1

15/5 = 40-25 / 25-x

3 = 20/25-x

75 - 3x = 20

x = 55/3 which is 18 point something but not 20. Can you please explain where I'm going wrong?
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64925 [0]
Given Kudos: 426
Location: Pune, India
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   23 Nov 2020, 00:24
Expert Reply
pearljiandani wrote:
VeritasKarishma
If I solve this with your method, I'm not getting the correct answer -

w1/w2 = a2 - Avg / Avg - a1

15/5 = 40-25 / 25-x

3 = 20/25-x

75 - 3x = 20

x = 55/3 which is 18 point something but not 20. Can you please explain where I'm going wrong?


Calculation error.

40 - 25 = 15
Correct it to get x = 20
User avatar
L
CrackverbalGMAT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7628 [0]
Given Kudos: 215
Location: India
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   23 Nov 2020, 00:52
Top Contributor
Let A be a y% saline solution.
Thus 15(y/100) + 5(0.4) = 0.25(15+5)
=>15y/100 = 3
=> y =20 (D)

Hope this helps. Keep working :)
User avatar
B
kop18
Manager
Manager
Joined: 30 Sep 2020
Posts: 70
Own Kudos [?]: 8 [0]
Given Kudos: 85
GMAT 1: 610 Q40 V35
Send PM
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   13 Aug 2023, 22:34
I would use the mixture/allegation concept here.

20---------40 (Already given)
-----25-------(Avg given)
15----------5 (both nos given)

The subtraction in mixture/allegation should always subtract the higher value from the smaller value to give the resultant. We must get a positive ratio down because the items in the third line represent the actual weights. So we need to ensure that we get a positive value in the 3rd line. The 1st line must always be populated by "per cents" "per kg" value etc.

Hence, 25-5=20.
User avatar
S
youcouldsailaway
Manager
Manager
Joined: 08 Nov 2022
Posts: 74
Own Kudos [?]: 27 [0]
Given Kudos: 57
Location: India
Concentration: Finance, Entrepreneurship
Schools: Wharton '26 Cornell '26 Ross '26 Duke Fuqua HBS '26 Stern '26 Marshall '26 Tuck '26
GMAT 1: 590 Q37 V34
GMAT 2: 660 Q40 V40
GPA: 3
Send PM
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink] New post   14 Aug 2023, 00:14
We can solve this using the mixture table. Since we know the final solution contains 5 lts of saline (25% of 20 lts), we can figure out the absolute value of saline in soln. B and then the remainder saline, would be coming from sol. A.
Attachments

File comment: Answer using table
image.png
image.png [ 282.06 KiB | Viewed 847 times ]

GMAT Club Bot
gmatclubot
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink]
14 Aug 2023, 00:14
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions