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# Miguel is mixing up a salad dressing. Regardless of the number of serv

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Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 223
Schools: RD 2: Darden Class of 2012
Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 06:26
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Question Stats:

60% (03:25) correct 40% (02:11) wrong based on 155 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: miguel-is-mixing-up-a-salad-dressing-regardless-of-the-109740.html
[Reveal] Spoiler: OA
Manager
Joined: 29 May 2008
Posts: 113
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 07:06
hogann wrote:
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?
1. 15/29
2. 5/8
3. 5/16
4. 1/2
5. 13/27

OA to come

Lets see

Original mix
Olive Mix 5/8
Vinegar 2/8
Sugar pepper 1/8

Miguel Mix
Olive Mix 2/4
Vinegar 2/4
Sugar pepper 0

2/4 = 1/2

4 is correct I think
Intern
Joined: 29 Sep 2009
Posts: 6
Schools: ISB, Wharton
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 08:31
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?
Ratio of each spices = (1- 5/8 - 1/4)/3 = 1/24
Actual mixture
Oil - 5/8 vinegar - 1/4 *2 Spices = 2/24

total = 5/8 + 1/2 + 2/24
=15/24 + 12/24 + 2/24
= 29 parts in the mixture
now of this mixture we have 15 parts of olive
so 15/29
My answer is A.
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Manager
Joined: 12 Oct 2009
Posts: 115
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 09:06
TheRob wrote:
hogann wrote:
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?
1. 15/29
2. 5/8
3. 5/16
4. 1/2
5. 13/27

OA to come

Lets see

Original mix
Olive Mix 5/8
Vinegar 2/8
Sugar pepper 1/8

Miguel Mix
Olive Mix 2/4
Vinegar 2/4
Sugar pepper 0

2/4 = 1/2

4 is correct I think

we need to Ignore Only sugar and not salt and pepper.
Initial Olive = 5/8,Vinegar = 1/4 = 2/8 and Even mix of Salt, Pepper and sugar so we get
ratio for each of them to be 1/24.

Now Miguel mixes Olive 5/8, Vinegar = 4/8 Salt 1/24 Pepper 1/24
Adding them we get Olive ratio as 15/29.hence A
Manager
Joined: 08 Oct 2009
Posts: 62
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 09:21
Agree with [A]. Assume 1 unit each of salt, pepper, sugar. Then original salad has 15 units olive oil, 6 units vinegar and 1 units each of salt, pepper, sugar for a total of 24 units. Double the vinegar and remove the sugar you get 15 units of olive oil / (15 + 12 + 1 + 1) = 15/29.

hogann, i noticed you posted a couple other decent questions .. where did you get these questions from if you dont mind sharing the source.
Thanks.
Senior Manager
Joined: 12 Oct 2009
Posts: 265
Schools: Columbia, INSEAD, RSM, LBS
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 09:34
The answer is 15/29

If the original content of the dressing was :

Olive oil : 5x/8
Vinegar : x/4
Sugar : x/24
Salt : x/24
Pepper : x/24

Now new contents :

Olive oil is same : 5x/8
Vinegar is doubled : x/2
Sugar is removed
Salt is same : x/24
Pepper is same : x/24

( 5x/8 + x/2 + x/24 + x/24 ) = 29x/24

portion of olive oil is 5x/8

5x/8 * 24/29x = 15/29
Manager
Joined: 12 Oct 2009
Posts: 115
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 10:12
badgerboy wrote:
Agree with [A]. Assume 1 unit each of salt, pepper, sugar. Then original salad has 15 units olive oil, 6 units vinegar and 1 units each of salt, pepper, sugar for a total of 24 units. Double the vinegar and remove the sugar you get 15 units of olive oil / (15 + 12 + 1 + 1) = 15/29.

hogann, i noticed you posted a couple other decent questions .. where did you get these questions from if you dont mind sharing the source.Thanks.

yup....please share the source
Manager
Joined: 15 Sep 2009
Posts: 135
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 10:28
I will go with option A
Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 223
Schools: RD 2: Darden Class of 2012
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 11:32
RJAGmat wrote:
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?
Ratio of each spices = (1- 5/8 - 1/4)/3 = 1/24
Actual mixture
Oil - 5/8 vinegar - 1/4 *2 Spices = 2/24

total = 5/8 + 1/2 + 2/24
=15/24 + 12/24 + 2/24
= 29 parts in the mixture
now of this mixture we have 15 parts of olive
so 15/29
My answer is A.

Above explanation is right on! OA is 15/29
Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 223
Schools: RD 2: Darden Class of 2012
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 11:34
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badgerboy wrote:
hogann, i noticed you posted a couple other decent questions .. where did you get these questions from if you dont mind sharing the source.
Thanks.

These questions are from the 700-800 level CAT's from Manhattan GMAT. They definitely push the outer limits in things we should know. Great practice though.

I will try to post some more tomorrow.
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Status: There is always something new !!
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Joined: 08 May 2009
Posts: 1327
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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

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04 May 2011, 10:53
Let x be the original mix.

New mix is as follows

5x/8 - olive
2x/4 - vinegar
x/24 - Sugar
x/24 - pepper

=29x/24

Pepper proportion of new mix = (5/8)*(24/29) = 15/29

Answer is A

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Posts: 15916
Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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10 Oct 2014, 06:17
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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10 Oct 2014, 08:29
Expert's post
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This post was
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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.

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OPEN DISCUSSION OF THIS QUESTION IS HERE: miguel-is-mixing-up-a-salad-dressing-regardless-of-the-109740.html
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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16 Oct 2014, 01:02
Olive ................. Vinegar .............................. Salt .......... Sugar ............ Pepper ................ Total

$$\frac{5}{8}$$ ........................ $$\frac{2}{8}$$ ................................ $$\frac{1}{24}$$ ......... $$\frac{1}{24}$$ ................ $$\frac{1}{24}$$ ..................... 1

Vinegar doubled; sugar forgot

$$\frac{5}{8}$$ ......................... $$\frac{2}{8} * 2$$ ........................ """"" .............. 0 .................. """" ....................... $$1 + \frac{1}{4} - \frac{1}{24} = \frac{29}{24}$$

Proportion required$$= \frac{\frac{5}{8}}{\frac{29}{24}} = \frac{15}{29}$$

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

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01 Jan 2016, 09:56
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).

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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv   [#permalink] 01 Jan 2016, 09:56
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# Miguel is mixing up a salad dressing. Regardless of the number of serv

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