How many litres of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution?
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Let quantity of 20% alcohol solution be added
: x liters
Eqn for altered solution ....
> x*20% + 40 * 50% = (x+40) * 30%
> x*0.2 + 40*0.5 = (x+40)*0.3 ..(converting
percentages into decimal)
> 0.2x + 20 = 0.3x + 12
> 20-12 = 0.3x - 0.2x (Rearranging similar
terms)
> 8 = 0.1 x
Hence x = 8/0.1
Ans 80 Litres
: x liters
Eqn for altered solution ....
> x*20% + 40 * 50% = (x+40) * 30%
> x*0.2 + 40*0.5 = (x+40)*0.3 ..(converting
percentages into decimal)
> 0.2x + 20 = 0.3x + 12
> 20-12 = 0.3x - 0.2x (Rearranging similar
terms)
> 8 = 0.1 x
Hence x = 8/0.1
Ans 80 Litres
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