SOLUTION: One liquid contains 22 1/2% water and another liquid 27% water. A container is filled with 5 parts of the first and 7 of the second. Determine percentage of water in container.

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Question 1108478: One liquid contains 22 1/2% water and another liquid 27% water. A container is filled with 5 parts of the first and 7 of the second. Determine percentage of water in container.


First: 77.5% other.
Second: 73% other.
Container is filled with 12 parts total.
Unsure how to solve. Non-homework.

Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Notice there are no units mentioned whatsoever.
I am free to assign units and a total amount of
liquid in the container without changing the problem.
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I will say there are +24+ units of total liquid
in the container.
+%28+5%2F12+%29%2A24+=+10+ units of the 22.5% water
+%28+7%2F12+%29%2A24+=+14+ units of the 27% water
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+.225%2A10+=+2.25+ units of water in the 22.5% water
+.27%2A14+=+3.78+ units of water in the 27% water
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The FRACTION of water in the container is:
+%28+2.25+%2B+3.78+%29+%2F+24+=+6.03%2F24+
+6.03%2F24+=+.2051+
The PERCENT of water in the container is:
+.2051%2A100+=+20.51+
20.51%
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check the math & get a 2nd opinion if needed

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
We have 5 volumes/parts of the 22.5% solution, where 22.5% relates to the water content in each elementary liquid volume,  and


        7 volumes/parts of the 27% solution, where 27% relates to the water content in each elementary liquid volume.


So the water concentration in the new integrated solution (in its 5+7 = 12 volumes/parts) is


        %280.225%2A5+%2B+0.27%2A7%29%2F%285%2B7%29 = 0.25125.


Answer.  Volume fraction of the water in the container is 0.25125; the percentage volume is 25.125%.

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It is the only correct answer. Any other answer is INCORRECT.

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    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
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    - Advanced mixture problem for three alloys
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The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".


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