If we mix the alcohol solution we have with pure water at the ratio 3:2, we will obtain a solution of 18% alcohol. If we instead mix them at a ratio of 4:1, what will be the alcohol percentage of the solution?

Question

Armani Tyler

Mathematics

29 December, 05:31

If we mix the alcohol solution we have with pure water at the ratio 3:2, we will obtain a solution of 18% alcohol. If we instead mix them at a ratio of 4:1, what will be the alcohol percentage of the solution?

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Answers (1)

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Gates · Answer 1

24%

Step-by-step explanation:

When the ratio is 3:2, that means 3/5 is the alcohol solution and 2/5 is pure water.

If x is the concentration of the alcohol solution, then:

3/5 x = 0.18

x = 0.3

So the alcohol solution is 30%. If we mix it at a ratio of 4:1 (4/5 alcohol solution), the resulting concentration is:

4/5 (0.3) = 0.24

The alcohol percentage is 24%.