College Algebra

How much water must be evaporated from 32 ounces of a 7% salt solution to make a 8% salt​ solution? (Answer is in ounces)

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  1. .07*32 =ounces of salt = 2.24
    so we have 29.76 ounces of water
    so
    2.24 = .08(water + salt)
    2.24 = .08 (water + 2.24)
    2.24 = .08 water + .18
    2.06 = .08*water
    water = 25.75
    so
    water removed = 29.76-25.75
    about 4 oz

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  2. V = Volume of 7% salt solution = 32 ounces

    s = Volume of salt in 7% salt solution

    w = Volume of wather 7% salt solution

    s = 7 % of 32 = ( 7 / 100 ) ∙ 32 =

    0.07 ∙ 32 = 2.24 ounces

    Volume of water in 7% salt solution:

    w = 93 % of V =

    93 % of 32 = ( 93 / 100 ) ∙ 32 =

    0.93 ∙ 32 = 29.76 ounces

    V1 = Volume of 8% salt solution

    s1 = Volume of salt in 8% salt solution

    w1 = Volume of wather 8% salt

    In 8% salt​ solution 2.24 ounces of salt represent 8 % of volume

    s1 = 2.24 ounces

    s1 = 0.08 V1

    2.24 = 0.08 V1

    V1 = 2.24 / 0.08 = 28 ounces

    92 % of this volume is wather.

    w1 = 0.92 ∙ 28 = 25.76 ounces

    ∆w = w - w1 = 29.76 ounces - 25.76 ounces = 4 ounces

    OR

    ∆V = V - V1 = 32 - 28 = 4 ounces

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  3. s / v = .07

    s / (v - x) = .08

    dividing ... (v - x) / v = 7 / 8

    1 - x/v = 7/8 ... 1/8 = x/v ... x = v/8

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