You will need 292.5 mL of the 10% solution and 2925 mL of pure alcohol.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
You require 450 mL of a 65% alcohol solution.
On hand, you have a 10% alcohol mixture.
Then the amount of the 10% alcohol mixture and pure alcohol that you need to obtain the desired solution will be
Let x be the amount of the 10% of alcohol is needed.
Then the equation will be
⇒ 450 · 0.65
⇒ 292.5 mL pure alcohol
Then the alcohol mixture will be
0.1x = 292.5
x = 2925 mL of alcohol mixture
You will need 292.5 mL of the 10% solution and 2925 mL of pure alcohol.
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