Miguel is mixing up a salad dressing. Regardless of the number of serv : GMAT Problem Solving (PS)
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# Miguel is mixing up a salad dressing. Regardless of the number of serv

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

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13 Oct 2009, 05:26
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59% (03:25) correct 41% (02:08) wrong based on 151 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
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 06:06
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
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 07:31
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
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 08:06
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
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 08:21
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.
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 08:34

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

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13 Oct 2009, 09:12
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.

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

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13 Oct 2009, 09:28
I will go with option A
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 10:32
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

Above explanation is right on! OA is 15/29
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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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13 Oct 2009, 10:34
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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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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]

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03 May 2011, 22:29
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, 09:53
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

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10 Oct 2014, 05:17
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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, 07:29
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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.

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, 00:02
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$$= \frac{\frac{5}{8}}{\frac{29}{24}} = \frac{15}{29}$$

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01 Jan 2016, 08:56
Hello from the GMAT Club BumpBot!

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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv   [#permalink] 01 Jan 2016, 08:56
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