diebeatsthegmat wrote:Jug contains water and orange juice in the ratio 5:7 . another jug contains water and orange juice in ratio 7 : 2 . In what proportion should these 2 liquids be mixed to give a water and orange juice in ratio 3 : 4
First determine the fraction of water in each part, using a common denominator:
Fraction of water in jug 1 = 5/12 = 105/252.
Fraction of water in jug 2 = 7/9 = 196/252.
Fraction of water in mixture = 3/7 = 108/252.
Now we can use perform alligation with just the numerators:
The proportion needed of each ingredient in the mixture = the positive distance between the OTHER 2 numerators.
Jug 1:
Proportion needed of jug 1 = 196 - 108 = 88.
Jug 2:
Proportion needed of jug 2 = 108 - 105 = 3.
Ratio:
Jug 1 : Jug 2 = 88:3.
Last edited by
GMATGuruNY on Tue Feb 07, 2012 7:11 am, edited 1 time in total.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
