You need a 60% alcohol solution. On hand, you have a 225 mL of a 50% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?

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Answer:

90 ml

Step-by-step explanation:

225 ml of 50% solution contains:

  • 225/2= 112.5 ml of alcohol and same amount of water

x ml of 85% alcohol mixture contains

  • 0.85x ml of alcohol and 0.15x of water

we need 60% solution which will contain:

  • (225+x)*0.6= 112.5+0.85x
  • 135+0.6x= 112.5+0.85x
  • 0.85x-0.6x= 135-112.5
  • 0.25x= 22.5
  • x=22.5/0.25
  • x= 90 ml

so we require 90 ml of 85% solution added

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