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# mixture

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Manager
Joined: 04 Sep 2006
Posts: 113

Kudos [?]: 62 [0], given: 0

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24 May 2009, 09:02
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24 pounds of coffee P and 25 pounds 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 mixture X?

Kudos [?]: 62 [0], given: 0

Manager
Joined: 12 Apr 2006
Posts: 213

Kudos [?]: 30 [0], given: 17

Location: India

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24 May 2009, 11:16
Let the unknown in Coffee X be x and unknown in Coffee Y is y

In Coffee X the ratio of P/V is 4x/x
In Coffee y the ratio is P/V is y/5y

Total quantity of Coffee P is 24 pounds
4x + y = 24

Total quantity of coffee V is 25 pounds
x + 5y = 25

Now solving 2 equations will give

x = 5, y = 4

P in coffee X is 4x = 20 pounds

Kudos [?]: 30 [0], given: 17

Re: mixture   [#permalink] 24 May 2009, 11:16
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