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
b) 5/8
oops i think its 1/2….
A
Say total salad dressing =x
Olive oil = 5x/8
Vinegar = x/4
Sugar = x/24; salt = x/24; pepper = x/24
Now double of vinegar = 2x/4
Total salad = 5x/8 + 2x/4 + x/24 + x/24 = 29x/24
Proportion of olive oil in salad = (5x/8)/(29x/24) = 15/29
A
Agree with Gaurav’s answer.
1. According to statement:
Let the total quantity of the salad be X>.
Now Total mixture will be :
Olive + vinegar + [salt + pepper + sugar]
=> 5x/8 + x/4 + 3 [x/24]
Now, if vinegar’s quantity is doubled and salt is removed then Olive’s fraction can be written as follows:
{5x/8} /[ 5x/8 + 2x/4 + 2 {x/24}] = 15/29
Ans. A
A,
However, I kinda think the question is a little ambiguous because the end result of the mixture is given, you could technically have to reproportion everything and THEN double/omit it because it’s no longer the original mixture.
I think the clarification needed is the ‘doubling of vinegar’ because if you double the proportion, you’re at 50% of the mixture. If you double the portion of the original mixture, then A is the true answer.
I realize there’s a certain level of ‘common sense’ understood, but you’re dealing with an engineer here…
A.
Don I dont agree with you.
Its a fraction of the entire mixture not the ratio.
For eg if my cocktail includes 200 ml scotch,
200 ml rum and 100 vodka and I accidentally put
200 ml vodka and all the other mixtures remain the
same then only the amount of vodka changes while the ultimate proporation of all ratio of the other drinks change in comparison to the new total.
Remember it is doubling the quantity not proportion.
A
Cud some1 explain how the value for salt or sugar or pepper is derived as x/24?
Thanks
The correct answer is A.
yes its A
Ya, Cud anyone explain how the value for salt or sugar or pepper is found tobe x/24?
A
Ron,
1(total) – {5/8(oil) + 1/4(vinegar)} = 1/8 which is EVENLY DIVIDED into 3 ingredients.
Hence (1/8)/3 is 1/24.
answer is A
I first thought the answer was B.
But i had a look at the answer that Gaurav have given and now i am convinced that it is A.
Its A
15/29
Undoubtedly A
A