Question

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.

Answer 1

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