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3 April, 03:23

How much water should we add to 5 gallons of 18% acid solution to dilute it to a concentration of 10%?

We should add

gallons of water to dilute the concetration.

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Answers (1)
  1. 3 April, 03:42
    0
    4 gallons of water is needed to dilute to a concentration of 10%.

    Step-by-step explanation:

    It is given that,

    The 5 gallons of water contains 18% of acid solution.

    Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.

    We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.

    For this, x amount of water should be added.

    Therefore, the equation is framed as,

    ⇒ 0.1 (x+5) = 5 (0.18)

    ⇒ 0.1x + 0.5 = 0.9

    ⇒ 0.1x = 0.9 - 0.5

    ⇒ x = 0.4 / 0.1

    ⇒ x = 4

    ∴ 4 gallons of water is needed to dilute to a concentration of 10%.
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