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Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]
13 Oct 2009, 05:26

1

This post was BOOKMARKED

00:00

A

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D

E

Difficulty:

55% (hard)

Question Stats:

64% (02:46) correct
36% (02:05) wrong based on 45 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?

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

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

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

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

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

Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]
13 Oct 2009, 09:12

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.

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

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

1

This post received KUDOS

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.

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

Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]
10 Oct 2014, 05:17

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Re: Miguel is mixing up a salad dressing. Regardless of the number of serv [#permalink]
10 Oct 2014, 07:29

Expert's post

2

This post was BOOKMARKED

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.