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29 August, 22:33

Use the four-step procedure to solve the following problem. Brine is a solution of salt and water. If a tub contains 50 pounds of 5% solution of brine, how much water (to the nearest tenth lb.) must evaporate to change it to an 8% solution?

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  1. 30 August, 00:17
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    18.3 pounds of water must evaporate to make it 8% solution

    Step-by-step explanation:

    Brine is a solution containing water & salt

    Weight of brine solution = 50 pounds

    amount of salts = 5% of 50 pounds = (5 : 100) * 50 = 2.5 pounds.

    Amount of water = 50 - 2.5 = 47.5 pounds

    The new solution is to be made 8%, which indicates that 2.5 pounds of salt is going to be equivalent to 8% of the new salt and some amount of water has to be evaporated for the amount of salt to increase

    Using direct relation expression

    8% of the solution equivalent to 2.5 pounds of salt

    100% will be equivalent to X pounds of solution

    Upon cross multiplication,

    X = (100 * 2.5) : (8) = 31.25 pounds of solution

    There amount of water that must evaporate is difference between weight of initial solution & final solution

    Amount of water to be evaporated = 50 - 31.25 = 18.25 pounds ∞ 18.3 lbs
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