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The contents of bottle of wine that is 80% full can be [#permalink]
02 Oct 2006, 03:04

00:00

A

B

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E

Difficulty:

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Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

The contents of bottle of wine that is 80% full can be emptied into 9 identical glasses so that each glass is Â¾ full. How many identical, completely full bottles would be needed to completely fill 75 such glasses?

The contents of bottle of wine that is 80% full can be emptied into 9 identical glasses so that each glass is Â¾ full. How many identical, completely full bottles would be needed to completely fill 75 such glasses?

let the big bottle be X, and small bottle be Y
80% X=75%*9Y
(4/5)X=(27/4)Y
X/Y=(27/4)/(4/5)
X/Y=(27*5)/(4*4)
therefore
75Y=75*(16)X/(27*5)
75Y=80X/9
75Y=8.8X

The contents of bottle of wine that is 80% full can be emptied into 9 identical glasses so that each glass is Â¾ full. How many identical, completely full bottles would be needed to completely fill 75 such glasses?

(A) 5 (B) 6 (C) 7 (D) 8 (E) more than 8

0.8 of a Bottle = 9 glasses (3/4 ofcourse)
08*B = 9
B = 45/4. So I full bottle will fill 45/4 glasses.

Re: PS: Filling Wine Glasses [#permalink]
09 Oct 2006, 00:46

kevincan wrote:

The contents of bottle of wine that is 80% full can be emptied into 9 identical glasses so that each glass is Â¾ full. How many identical, completely full bottles would be needed to completely fill 75 such glasses?

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