# Alcohol

How many 55% alcohol we need to pour into 14 liters 75% alcohol to get p3% of the alcohol? How many 65% alcohol we get?

Correct result:

V1 =  14 l
V3 =  28 l

#### Solution:

$55\% \cdot V_1 + 14 \cdot 75 \% = (V_1+14) \cdot 65\% \ \\ \ \\ V_1 = 14 \cdot \dfrac{ 75-65}{ 65-55} = 14 \ \text{l}$
$V_3 = V_1 + 14 = 28 \ \text{l}$

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