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21 August, 15:13

how many liters each of a 60% acid solution and a 80% acid solution must be used to produce 80 liters of a 75% acid solution

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  1. 21 August, 18:39
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    20 liters of 60% acid solution and 60 liters of 80% acid solution

    Step-by-step explanation:

    Let the amount of 60% solution needed be "x", and

    amount of 80% solution needed be "y"

    Since we are making 80 liters of total solution, we can say:

    x + y = 80

    Now, from the original problem, we can write:

    60% of x + 80% of y = 75% of 80

    Converting percentages to decimals by dividing by 100 and writing the equation algebraically, we have:

    0.6x + 0.8y = 0.75 (80)

    0.6x + 0.8y = 60

    We can write 1st equation as:

    x = 80 - y

    Now we substitute this into 2nd equation and solve for y:

    0.6x + 0.8y = 60

    0.6 (80 - y) + 0.8y = 60

    48 - 0.6y + 0.8y = 60

    0.2y = 12

    y = 12/0.2

    y = 60

    Also, x is:

    x = 80 - y

    x = 80 - 60

    x = 20

    Thus, we need

    20 liters of 60% acid solution and 60 liters of 80% acid solution
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