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hard PS question from Hult GMAT prep

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by Castor.kim » Tue Oct 09, 2012 8:01 pm
Hi Players,
In Hult school provide GMAT prep test, I failed this problem..
I saw the explanation.. but can't understand..
please help!!

[Question]
Grandmother's Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. If a 750-milliliter Grandmother's Punch bottle has 87 milliliters of alcohol, how much apricot cider does it contains?

a.330 milliliters
b.420 milliliters
c.565 milliliters
d.630 milliliter
e.670 milliliter

OA is b

is it input all followings to herbal and cider???
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by das.ashmita » Tue Oct 09, 2012 9:05 pm
HI Castor
let the amount of herbal extraction be H & apricot cider be A

Now, A + H = 750..........(1)
and 5% of A + 20% 0f H = 87 => 0.05A + 0.2H = 87.....(2)


Solving (1) and (2), we get A = 420

Hence ANS B

Hope it helps :)
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