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

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

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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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