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20 January, 15:39

A pharmacist has 20 L of a 10% drug solution. How many liters of a 5% solution must be added to get a mixture that is 8%?

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  1. 20 January, 16:02
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    13.33 L of 5% solution must be added to get a mixture that is 8%.

    Step-by-step explanation:

    Let 'x' be the required liters of 5% solution to be added to get 8% mixture. Already we have 10% of 20 L, with this 5% of x liters must be added.

    ⇒ 0.05x + 0.10 (20) = 0.08 (20+x)

    ⇒ 0.05x + 2 = 1.6 + 0.08x

    ⇒ 2 - 1.6 = 0.08x - 0.05x

    ⇒ 0.4 = 0.03x

    x = 0.4/0.03

    x = 13.33 liters.

    ∴ 13.33 L of 5% solution is required.
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