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# 24 lbs of coffee P and 25 lbs of coffee V are mixed to make

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Director
Joined: 17 Oct 2005
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24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]  12 Feb 2006, 00:15
24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?
Director
Joined: 13 Nov 2003
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Location: BULGARIA
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P/V=4/1 in X P/V=1/5 in Y then P=4v and P=V/5 then V+4V+V+V/5=49 then V=245/31 and P in X is 980/31
may be i am wrong
Intern
Joined: 07 Jan 2006
Posts: 49
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Coffee X: Ratio of P to V is 4:1
Coffee Y: Ratio of P to V is 1:5

I used plug-in formula..

Coffee X: 20 P and 5 V
Coffee Y: 4 P and 20 V
---------------------------
Total Coffee: 24 P and 25 V

Ans: 20 lbs of P is in X.
VP
Joined: 21 Sep 2003
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Location: USA
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Agree with coolfish. It is 20

p1/v1 = 4/1 => p1 = 4v1 --(1)
p2/v2 = 1/5 => p2 = v2/5 --(2)

p1+p2 = 24 -- (3)
v1+v2 = 25 -- (4)

Using (1) & (2) in (3) and solving (3) and (4),
v1 = 5, v2 = 20
p1 = 20 p2 = 4

Hence p1 = 20
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