Respuesta :
86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .
For given question,
Let x be the quantity ( in liters ) of 35 percent salt solution added to 20 liters of an 70 percent salt solution so that the resulting solution contains 45 percent salt,
Thus,
Quantity of salt solution in 20 liters + Quantity of salt solution in x
= Quantity of salt solution in resultant mixture.
⇒ 70% of 20 + 35% of x = 45% of (20 + x )
⇒ 14 + (0.35x) = 0.45 × ( 12 + x )
⇒ 14 + 0.35x = 5.4 + 0.45x
⇒ 14 - 5.4 = 0.45x - 0.35x
⇒ 8.6 = 0.10x
⇒ x = 86 liters
Therefore, 86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .
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