Question

What quantity of water should be taken out to concentrate 15 litres of 45% acidic liquid to 60%
acidic liquid?​

Answer 1

Answer: 3 lts

Step-by-step explanation:

12×30100 = (12 - x)×40100

9 = 12 - x

x = 12 - 9

x = 3 lts

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Answer 2

1.33 ltrs of water should be taken out to concentrate 15 liters of 454% acidic liquid to 60% acidic liquid.

Step-by-step explanation:

Since we have given that

Quantity of solution = 15 liters

Since it is 45% acidic liquid.

So, it becomes

Acid  :  Water

 45   :    55

  9    :     11

So, Amount of water is given by

$\dfrac{11}{20}\times 15\\\\=8.25\ ltrs$

Amount of acid is given by

$\dfrac{9}{20}\times 15\\\\=6.75\ ltrs$

Let x be the quantity of water should be taken out to get 60% acidic liquid.

According to question, it becomes,

$\dfrac{8.25}{6.75-x}=\dfrac{60}{40}=\dfrac{3}{2}\\\\2\times 8.25=3(6.75-x)\\\\16.5=20.25-3x\\\\16.5-20.5=-3x\\\\-4=-3x\\\\x=\dfrac{4}{3}=1.33\ ltrs$

Hence, 1.33 ltrs of water should be taken out to concentrate 15 liters of 454% acidic liquid to 60% acidic liquid.

# learn more:

What quantity of water should be taken out to concentrate of 12 litres of 30% acidic water to 40% of acidic liquid?

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