Question

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Answer 1

Answer:

You will need 275 ml of the 90% solution

Step-by-step explanation:

Let the amount of the 90% alcohol be x

Amount of the 30% alcohol solution = 385 ml

The amount of the mixture = 385 + x

(30% of 385) + (90% of x) = 55% of (385+x)

`\begin{gathered} ((30)/(100)*385)+((90)/(100)* x)=(55)/(100)*(385+x) \\ \\ (0.3*385)+(0.9* x)=0.55(385+x) \\ \\ 115.5+0.9x=211.75+0.55x \\ \\ 0.9x-0.55x=211.75-115.5 \\ \\ 0.35x=96.25 \\ \\ x=(96.25)/(0.35) \\ \\ x=275 \\ \\ \end{gathered}`

You will need 275 ml of the 90% solution