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How many ounces of a ​17 % alcohol solution must be mixed with 4 ounces of a 20 ​% alcohol solution to make a 19 ​% alcohol​ solution?

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mhanifa

Answer:

  • 4 ounces

Step-by-step explanation:

Let the required amount is x.

Alcohol content is same at the end:

  • x*0.17 + 4*0.2 = (x + 4)*0.19
  • 0.17x + 0.8 = 0.19x + 0.72
  • 0.19x - 0.17x = 0.8 - 0.72
  • 0.02x = 0.08
  • x = 0.08/0.02
  • x = 4

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