Author 
Message 
TAGS:

Hide Tags

Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 98
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)

The ratio, by weight, of coffee to mate to water in a certain cup of [#permalink]
Show Tags
25 May 2010, 08:51
3
This post was BOOKMARKED
Question Stats:
74% (02:09) correct 26% (02:19) wrong based on 149 sessions
HideShow timer Statistics
The ratio, by weight, of coffee to mate to water in a certain cup of coffee is 6:2:15. The coffee is altered so that the ratio of coffee to mate is halved while the ratio of coffee to water is doubled. If the altered coffee will contain 16 grams of mate, how many grams of water does it contain after alteration? (A) 12 (B) 15 (C) 30 (D) 60 (E) 100 Solution The current ratio of coffee to mate is 6:2, when halved, the ratio becomes 3:2 or 6:4 or 12:8. The current ratio of coffee to water is 6:15, when doubled, the ratio is 12:15. The ratio of cofee to mate to water, when combined, becomes 12:8:15. Based on the ratio 12:8:15, the total grams t was divided as follows: t 38 10 was coffee, t 38 8 was mate, and t 38 15 was water. Since t 38 8 = 16, t = (16) 76 8 38 = and then 76 30 38 15 38 15 t = × = . So the correct answer choice is C.
Official Answer and Stats are available only to registered users. Register/ Login.



Senior Manager
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 315

Re: The ratio, by weight, of coffee to mate to water in a certain cup of [#permalink]
Show Tags
25 May 2010, 09:07
1
This post received KUDOS
1
This post was BOOKMARKED
Here is my take on this c:m:w = 6:2:15 new c:m = 1/2(6/2) = 3:2 new c:w = 2(6:15) = 12:15 = 4:5 so new m:c:w = 2:3 4:5 = 8:12:15 ( notice how i combined the two ratios by multiplication by 3 and 4 of respective ratios) m = 16 g Let T = total amount of c + m + w then 8 / (8+12+15)T = 16 x 35/8 = 70g then w = 15/35 x 70 = 30g Answer C
_________________
press kudos, if you like the explanation, appreciate the effort or encourage people to respond.
Download the Ultimate SC Flashcards



Senior Manager
Joined: 03 Mar 2010
Posts: 404

Re: The ratio, by weight, of coffee to mate to water in a certain cup of [#permalink]
Show Tags
12 Sep 2011, 09:53
1
This post received KUDOS
C:M:W=6:2:15 C:M is halved so C:M=3:2 C:W is doubled = 12:15 Now M:C =2:3 and C:W=12:15 M:C=8:12 C:W=12:15 M:C:W=8:12:15 New mix contains 16gms of Mate 8x=16 x=2 Water will be 15x=15*2=30gms
_________________
My dad once said to me: Son, nothing succeeds like success.



Senior Manager
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 250

Re: The ratio, by weight, of coffee to mate to water in a certain cup of [#permalink]
Show Tags
12 Sep 2011, 13:28
1
This post received KUDOS
1
This post was BOOKMARKED
c:m:w = 6:2:15 c:m (halved) = 6:4 .... we can write is as 12:8 c:w (doubled) = 12:15 c:m:w = 12:8:15 if mate is 16g, then water must be 30g(15*2)
_________________
press +1 Kudos to appreciate posts Download Valuable Collection of Percentage Questions (PS/DS)



Manager
Joined: 22 Jan 2011
Posts: 56
Location: London, UK

Re: The ratio, by weight, of coffee to mate to water in a certain cup of [#permalink]
Show Tags
12 Sep 2011, 15:23
Yeah, I thought about halving the coffee at the start as well, but decided against it, because otherwise you would have to perform 2 operations on the water Instead, you double the mate and then halve the water. The result would taste horrible, but would give you answer C.
_________________
Staying positive and having fun with the GMAT.
<<====[ If you like my post, press +1 on the left]



NonHuman User
Joined: 09 Sep 2013
Posts: 6532

Re: The ratio, by weight, of coffee to mate to water in a certain cup of [#permalink]
Show Tags
25 Oct 2017, 16:58
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: The ratio, by weight, of coffee to mate to water in a certain cup of
[#permalink]
25 Oct 2017, 16:58






