Thera are three cans with fluids — A, B, and C. A : PS Archive
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# Thera are three cans with fluids — A, B, and C. A

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Thera are three cans with fluids â€” A, B, and C. A [#permalink]

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26 Jun 2003, 04:07
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Thera are three cans with fluids — A, B, and C.

A contains 10 liters of 60% rose oil mixture
B contains 12 liters of 80% rose oil mixture
C contains X liters of pure rose oil

A perfumer starts mixing fluids: 1/2A+1/3B+2C

find concentration of rose oil in the 11 liters of the resulting mixture.
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26 Jun 2003, 04:17
If the volume of the resulting mixture is 11 litres, then X=1 litre

Therefore, the concentration of rose oil in the resulting mixture is approx. 75%

SVP
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26 Jun 2003, 04:18
you are a beautiful mathematician

there, downward the forum lie a couple of my unsolved questions. Find them and solve them.
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26 Jun 2003, 04:39
Thanks !

SVP
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26 Jun 2003, 04:46
I wait that you solve my unsolved questions. Otherwise, I will leave for a cloister.
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30 Aug 2003, 11:49
How did you get that the approx conc is 75%?

I figured the long way (0.5*6) + (1/3)(9.6) + 2. Can u explain ur shorter way around?
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30 Aug 2003, 16:27
could any of you please explain it to me a bit more in detail? i don't see where your numbers come from.
thank you very much!
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30 Aug 2003, 22:24
concentration=the volume of rose oil/the total volume

the total volume is 11; therefore, according to the formula, 5+4+2X=11 — where X=1.
the volume of rose oil=5*0.6+4*0.8+2=3+3.2+2=8.2

Therefore, 8.2/11=75% approx.
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