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Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 223
Schools: RD 2: Darden Class of 2012
Followers: 3

Kudos [?]: 54 [0], given: 2

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Difficulty:

(N/A)

Question Stats:

50% (01:27) correct 50% (01:59) wrong based on 21 sessions
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
Manager
Joined: 29 May 2008
Posts: 116
Followers: 1

Kudos [?]: 14 [0], given: 0

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: 7
Schools: ISB, Wharton
Followers: 0

Kudos [?]: 0 [0], given: 0

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
_________________

Thanks,
Just think differently, there is a easier solution:)

Manager
Joined: 12 Oct 2009
Posts: 115
Followers: 2

Kudos [?]: 20 [0], given: 3

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: 67
Followers: 1

Kudos [?]: 17 [0], given: 5

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: 272
Followers: 2

Kudos [?]: 32 [0], given: 4

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
Followers: 2

Kudos [?]: 20 [0], given: 3

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.

Manager
Joined: 15 Sep 2009
Posts: 139
Followers: 1

Kudos [?]: 15 [0], given: 2

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
Followers: 3

Kudos [?]: 54 [0], given: 2

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

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
Followers: 3

Kudos [?]: 54 [1] , given: 2

1
KUDOS
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.
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1365
Followers: 11

Kudos [?]: 136 [0], given: 10

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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Director
Joined: 01 Feb 2011
Posts: 770
Followers: 14

Kudos [?]: 82 [0], given: 42

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

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