Question

A pharmacist needs to strength a 15% alcohol solution to one of 32% alcohol. How much pure alcohol should be added to800ml of 15% solution?

Answer 1

32/100×1000.

so answer is 200...

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Answer 2

Answer :

• Quantity of pure alcohol added to 15 % solution to get 32% solution = 200 ml.

Given :

• A pharmacist needs to strength a 15% alcohol solution to one of 32% alcohol.

To find :

• How much pure alcohol should be added to 800ml of 15% solution = ?

Step-by-step explanation :

Quantity of pure alcohol in 400 ml of 15 % solution = 800 × 15/100 = 120 ml

Let pure alcohol added to 15 % solution to get 32% solution = x ml.

Then quantity of pure alcohol = (60 + x) ml

According to the given question, we have

120 + x = 32% of (800 + x) = 32/100(800 + x)

⟹ 120 + x = 8/25(800 + x)

⟹ 25(120 + x) = 8(800 + x)

⟹ 3000 + 25x = 6400 + 8x

⟹ 25x - 8x = 6400 - 3000

⟹ 17x = 3400

∴ x = 3400/17 = 200.

Hence, quantity of pure alcohol added to 15 % solution to get 32% solution = 200 ml.