A 12% acid solution is made by mixing 8% and 20% solutions. If the 450 ml of the 12% solution is req

Discussion in 'Calculator Requests' started by math_celebrity, Oct 3, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A 12% acid solution is made by mixing 8% and 20% solutions. If the 450 ml of the 12% solution is required, how much of each solution is required?

    Component Unit Amount
    8% Solution: 0.08 * x = 0.08x
    20% Solution: 0.2 * y = 0.2y
    12% Solution: 0.12 * 450 = 54

    We add up the 8% solution and 20% solution to get two equations:
    1. 0.08x + 0.2y = 54
    2. x + y = 450
    We have a simultaneous set of equations. We can solve it using three methods:
    No matter which method we choose, we get the same answer:
    • x = 300 ml
    • y = 150 ml
     

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