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15 April, 19:05

A mixture of 6% disinfectant solution is to be made from 8% and 3% disinfectant solutions. how much of each solution should be used if 25 gallons of 6% solution are needed?

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  1. 15 April, 21:19
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    Answer is: 10 gallons of 3% and 15 gallons of 8% solution.

    V₁ + V₂ = 25 gallons.

    0,03V₁ + 0,08V₂ = 0,06 · 25 gallons.

    V₁ = 25 gallons - V₂.

    0,03 · (25 gallons - V₂) + 0,08V₂ = 1,5 gallons.

    0,75 gallons - 0,03V₂ + 0,08V₂ = 1,5 gallons.

    0,05V₂ = 0,75 gallons.

    V₂ = 0,75 gallons / 0,05.

    V₂ = 15 gallons.

    V₁ = 25 gallons - 15 gallons.

    V₁ = 10 gallons.
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