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Roderick mixes a martini that has a volume of n ounces that

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Senior Manager
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Roderick mixes a martini that has a volume of n ounces that  [#permalink]

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New post 30 Oct 2006, 05:48
1
7
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:29) correct 26% (01:56) wrong based on 137 sessions

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Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

OPEN DISCUSSION OF THIS QUESTION IS HERE: rodrick-mixes-a-martini-that-has-a-volume-of-n-ounces-havi-88506.html

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Re: Roderick mixes a martini that has a volume of n ounces that  [#permalink]

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New post 30 Oct 2006, 06:33
5
1
My answer is C... by picking numbers

4 ounces is vermouth
6 ounces of gin...

Total volume 10.


To make vermouth account for 25% of total volume the new volume must be....
x*0.25=4
x=16 ounces....

So now you see that he must add 6 ounces of gin...

Plug in 10 for n in the answer choices and look for answer 6
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Re: Roderick mixes a martini that has a volume of n ounces that  [#permalink]

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New post 30 Oct 2006, 10:47
40 / (60+x) = 25 / 75

40 / (60+x) = 1 / 3

120 = 60 + x

x = 60

Remember that 60 is in % of n

60/100*n = 3/5n
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Re: Roderick mixes a martini that has a volume of n ounces that  [#permalink]

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New post 12 Aug 2014, 09:35
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3
Hermione wrote:
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5


Note that after we add pure Gin, the volume of Vermouth will remain the same. Based on this set the equation:

0.4n=0.25(n+g) --> g=3n/5

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: rodrick-mixes-a-martini-that-has-a-volume-of-n-ounces-havi-88506.html
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Re: Roderick mixes a martini that has a volume of n ounces that  [#permalink]

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New post 18 Aug 2018, 07:13
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Re: Roderick mixes a martini that has a volume of n ounces that   [#permalink] 18 Aug 2018, 07:13
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