30 ml of pure water is added to 50 ml of a 30% alcohol aftershave lotion. What proportion of alcohol is present in the new solution?

# 30 ml of pure water is added to 50 ml of a 30% alcohol aftershave lotion. What proportion of alcohol is present in the new solution?

1. A
18%
2. B
18.75%
3. C
75.18%
4. D
None of the above

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### Solution:

Concept: Adding 50ml of aftershave lotion and 30ml of pure water will help us determine the entire mixture amount. Then, we'll assume that the final solution has "x" amount of alcohol. Next, we'll convert the 30% alcohol content of a 50ml bottle of aftershave lotion to an equivalent amount of alcohol (x) in the final solution. Therefore, after solving this, we will have the answer "x." The result will then be multiplied by 100 to obtain a percentage value.
This is where we get 30 ml of pure water combined with 50 ml of aftershave lotion. Thus, the total combination volume is
We now know that 50ml of aftershave lotion contains 30% alcohol. We'll assume that the final solution contains 'x' units of alcohol. So, we can say that the after-shave lotion contains the same quantity of alcohol as the finished product. Consequently, we may represent it mathematically as
After solving, we get,
We must multiply this by 100 in order to turn it to a percentage. So, we will receive
As a result, the new solution contains percent alcohol.
Hence, option 2 is correct.

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