Miguel is mixing up a salad dressing. Regardless of the : PS Archive
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# Miguel is mixing up a salad dressing. Regardless of the

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09 Dec 2006, 15:16
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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
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09 Dec 2006, 16:55
15/29

I made the denominator 24 because this allows easier counting of the separate salt, pepper and sugar.

So 15/24 olive oil, 6/24 vinegar, 1/24 salt, 1/24 pepper, 1/24 sugar

Take these figures as amounts: eg 15 litres of oliver oil, 6 litres of vinegar.......

So after doubling vinegar and forgetting sugar we have:

Total volume 15+12+1+1 = 29 litres

Olive oil = 15 litres

Proportion of olive oil = 15/29
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12 Dec 2006, 08:33
Getting A. Whats the OA?
salt, pepper, suger each portion = (X - (5/8+1/4)X)/3 = 1/24X
current dressing = 5/8X Olive oil + 2 *1/4 X Vinegar + 2* 1/24 X (salt, pepper)
= 5/8X+ 1/2X +1/12X
= 29/24X

29/24X dressing contains 5/8X Olive oil
so portion of olive oil =5/8 X / 29/24 X
= 15/29

ANS A.
12 Dec 2006, 08:33
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