Get detailed and accurate responses to your questions on IDNLearn.com. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

Kristina needs to mix a 10% alcohol solution with a 50% alcohol solution to create 200 millileters of a 48% solution. How many millileters of each solution must Kristina use?

Answer: Kristina must mix
______ millileters of 10% solution and
______ millileters of 50% solution.


Sagot :

Answer:

  • 10%: 10 mL
  • 50%: 190 mL

Step-by-step explanation:

Let v represent the volume of the 50% solution, in milliliters. Then 200-v will be the volume of 10% solution. The amount of alcohol in the mix will be ...

  0.50v +0.10(200-v) = 0.48(200)

  0.40v +20 = 96 . . . . . . simplify

  0.40v = 76 . . . . . . . . . subtract 20

  v = 190 . . . . . . . . . . . divide by 0.4

Kristina must mix ...

  10 mL of 10% solution

  190 mL of 50% solution