Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 2712:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
May 2110:00 AM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 2212:30 AM EDT
-01:30 AM EDT
From 535→695 to 735 in one shot — GMATWhiz students prove what focused prep can achieve. Get up to 44% OFF on expert-guided, AI-driven GMAT prep with mentor support. Plans from $149.
May 3102:00 PM PDT
-03:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
11 Jan 2020, 07:03
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
72% (02:44) correct
28%
(02:54)
wrong
based on 383
sessions
History
Date
Time
Result
Not Attempted Yet
Two solutions having milk and water in the ratios 3 : 5 and 4 : 7 are mixed in the ratio 2 : 3. What is the ratio of milk and water in the resultant mixture?
A. 80 : 139
B. 81 : 139
C. 82 : 139
D. 83 : 139
E. 84 : 139
A. 80 : 139
B. 81 : 139
C. 82 : 139
D. 83 : 139
E. 84 : 139
RamseyGooner
Current Student
Joined: 29 Feb 2020
Last visit: 03 Oct 2022
Posts: 52
Given Kudos: 56
Location: India
Schools: Said '23 (A) Judge '23 (WA) Bocconi (A$$) ESSEC (A)
GMAT 1: 720 Q49 V40
GPA: 3.5
25 May 2021, 00:55
Kudos
Bookmarks
Oh how much I despise Ratios,
Method1 :
Given Ratios,
3:5 = 8x
4:7 = 11x
Lets bring them to a common stage so that we treat them as lets say liters(as it is milk) andnot ratios
LCM of above is 88, lets multiply 11 at top and 8 at bottom
So, we got : 33:55 and 32:56
First soln is taken twice and the second thrice,
33*2+32*3 : 55*2+56*3 = 162:278
Reduce to get 81:139
However if you are comfortable with ratios, Method 2
Milk in : soln 1 = 3/8, Soln 2 =4/11
Water in : soln 1 =5/8, Soln 2 = 7/11
Soln 1:Soln2 = 2:3
[2(3/8)+3(4/11)]/[2(5/8)+3(7/11)] = 81/139
Hope this helps!
Method1 :
Given Ratios,
3:5 = 8x
4:7 = 11x
Lets bring them to a common stage so that we treat them as lets say liters(as it is milk) andnot ratios
LCM of above is 88, lets multiply 11 at top and 8 at bottom
So, we got : 33:55 and 32:56
First soln is taken twice and the second thrice,
33*2+32*3 : 55*2+56*3 = 162:278
Reduce to get 81:139
However if you are comfortable with ratios, Method 2
Milk in : soln 1 = 3/8, Soln 2 =4/11
Water in : soln 1 =5/8, Soln 2 = 7/11
Soln 1:Soln2 = 2:3
[2(3/8)+3(4/11)]/[2(5/8)+3(7/11)] = 81/139
Hope this helps!
Milk in 1 liter solution —\(\frac{3}{8}\)
Milk in 1 liter solution —\(\frac{4}{11}\)
Milk in 1 liter solution — x
————————————————
\(\frac{4}{11}\) ———x—————\(\frac{3}{8}\)
—> \((x—\frac{4}{11}) / (\frac{3}{8} —x)\) = \(\frac{2}{3}\)
\(3x —\frac{12}{11}= \frac{3}{4} —2x\)
\(5x = \frac{3}{4} + \frac{12}{11}\) =\(\frac{(33+ 48)}{44}= \frac{81}{44}\)
—> \(x = \frac{81}{220}\) -- the ratio of milk to the total mixture
--> \(1 - \frac{81}{220}= \frac{139}{220}\) - the ratio of water to the total mixture
The ratio of milk to water in the resultant mixture = \((\frac{81}{220})/(\frac{139}{220})= \frac{81}{139}\)
The answer is B.
Posted from my mobile device
Milk in 1 liter solution —\(\frac{4}{11}\)
Milk in 1 liter solution — x
————————————————
\(\frac{4}{11}\) ———x—————\(\frac{3}{8}\)
—> \((x—\frac{4}{11}) / (\frac{3}{8} —x)\) = \(\frac{2}{3}\)
\(3x —\frac{12}{11}= \frac{3}{4} —2x\)
\(5x = \frac{3}{4} + \frac{12}{11}\) =\(\frac{(33+ 48)}{44}= \frac{81}{44}\)
—> \(x = \frac{81}{220}\) -- the ratio of milk to the total mixture
--> \(1 - \frac{81}{220}= \frac{139}{220}\) - the ratio of water to the total mixture
The ratio of milk to water in the resultant mixture = \((\frac{81}{220})/(\frac{139}{220})= \frac{81}{139}\)
The answer is B.
Posted from my mobile device
