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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: Miguel is mixing up a salad dressing. [#permalink]

Show Tags

26 Jul 2010, 10:05

The wording of this really confused me. It seems like you could either double the proportion of vinegar or the actual amount and get completely different answers. I wasted a lot of time assuming it was the proportion he got wrong - I thought he went from 1/4 vinegar to 1/2 vinegar.

Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

Show Tags

03 May 2011, 23:29

let the total quantity be a multiple of 8 and 4 = 64 thus original quantities are 40, 16 and 2.6 each for sugar,salt and pepper. new quantities are 40,32,0,2.6 and 2.6 where sugar = 0

thus new total is 77.2

thus % = 40/77.2 < 1/2 closest approximation is 15/29 < 1/2 Hence A.
_________________

Visit -- http://www.sustainable-sphere.com/ Promote Green Business,Sustainable Living and Green Earth !!

Re: Miguel is mixing up a salad dressing. [#permalink]

Show Tags

23 Jul 2011, 05:30

Hi,

nonameee wrote:

AndreG wrote:

Quote:

That's not what I've asked. I understand where you got the numbers and 24 is very clear to me.

I just thought that since he changed the ratio of various ingredients, the ratio of oil will be different as well. So I don't understand why we can assume that the ratio of the oil should remain the same? It if remains the same (as in your calculations, i.e., oil = 15x) the weight of the mixture will change. In my calculations I assumed that the weight of the mixture stays the same and the rate of the oil changes.

Maybe I didn't understand the the question well.

Yes I had the same problem!

I filled the mixture with 1/2 vinegar (i.e. 12), 1 salt and 1 pepper --> ending up with 10 left for oil, hence 10/24 = 5/12 is the proportion of oil in the dressing.

Someone please clarify where we went wrong...

Yeah, I had the same reasoning.

Though I understood the correct reasoning, I am still not clear on what is wrong in these ones.

Re: Miguel is mixing up a salad dressing. [#permalink]

Show Tags

18 Dec 2011, 03:38

AndreG wrote:

Quote:

That's not what I've asked. I understand where you got the numbers and 24 is very clear to me.

I just thought that since he changed the ratio of various ingredients, the ratio of oil will be different as well. So I don't understand why we can assume that the ratio of the oil should remain the same? It if remains the same (as in your calculations, i.e., oil = 15x) the weight of the mixture will change. In my calculations I assumed that the weight of the mixture stays the same and the rate of the oil changes.

Maybe I didn't understand the the question well.

Yes I had the same problem!

I filled the mixture with 1/2 vinegar (i.e. 12), 1 salt and 1 pepper --> ending up with 10 left for oil, hence 10/24 = 5/12 is the proportion of oil in the dressing.

Someone please clarify where we went wrong...

Exactly!!!!!

I mean, I completely understand the answer - 15/29. I too would'v chosen 24 or a similar number as an LCM.But, what's wrong here... It jus happened that I got this approach.. Stuck here.. Can some one explain.. Experts....???

Re: Miguel is mixing up a salad dressing. [#permalink]

Show Tags

29 Dec 2013, 11:25

The problem with folks who are getting 5/12 as the answer, the point you folks are messing up is that you are trying to balance the missing components (by adding) to Olive oil. (I will explain this while calculating blotched mix)

I am just using the fractions given in the question, and not taking any LCM as suggested in few posts (to avoid confusion)

Original mix.

Olive oil = 5/8 Vinegar = 1/4 Remaining = 1 -(5/8+1/4) = 1/8 Even mixture of salt, pepper and sugar = (1/8)/3 = 1/24 each.

Folks are working this out as 1 - ( vinegar + remaining) = 1 - (1/2 + 1/24 + 1/24) = 1 - (7/12) = 5/12 (and hence this is understood as the proportion of Olive oil) The mistake is that, Olive oil's proportion is not changed and is calculated as below.

Proportion of olive oil in blotched mix = Olive oil / sum of components in blotched mix. = (5/8) / ( 5/8 + 1/2 + 1/24 + 1/24) = (5/8) / ( 15/24 + 12/24 + 1/24 + 1/24) = (5/8) / ( 29/24) = 5/8 x 24/29 = 15/29 (ans)
_________________

Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil? A) 15/29 B) 5/8 C) 5/16 D) 1/2 E) 13/27

Olive oil = 5/8 = 15/24 --> 15 parts out of 24; Vinegar = 1/4 = 6/24 --> 6 parts out of 24; Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;

If vinegar = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0 = 29 parts out of which 15 parts are olive oil --> proportion = 15/29.

Answer: A.

P.S. Took 24 as common denominator so that share of each ingredient to be integer.

Re: Miguel is mixing up a salad dressing. Regardless of the numb [#permalink]

Show Tags

18 Apr 2014, 14:17

OO: 5/8 V: 2/8

S/S/P each 1/24

After conditions applied:

OO: 5/8 V: 4/8

S/S/P = 1/24 + 1/24

5/8/{4/8 + 1/24 + 1/24 + 5/8}

15/29
_________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil? A) 15/29 B) 5/8 C) 5/16 D) 1/2 E) 13/27

Olive oil = 5/8 = 15/24 --> 15 parts out of 24; Vinegar = 1/4 = 6/24 --> 6 parts out of 24; Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;

If vinegar = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0 = 29 parts out of which 15 parts are olive oil --> proportion = 15/29.

Answer: A.

P.S. Took 24 as common denominator so that share of each ingredient to be integer.