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Tanya [424]
3 years ago
13

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

55% salt and Solution B is 80% salt. She wants to obtain 130 ounces of a mixture that is 75% salt. How many ounces of each solution should she use?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

Answer:

  • 26 ounces of 55% solution
  • 104 ounces of 80% solution

Step-by-step explanation:

Let x represent the quantity of 80% solution. Then 130-x is the amount of 55% solution. The total amount of salt in the mix is ...

  0.80x +0.55(130 -x) = 0.75·130

  0.25x = 0.20·130 . . . . . . . subtract 0.55(130)

  x = 0.20/0.25(130) = 104

  130-x = 26

She should use 26 ounces of 55% solution and 104 ounces of 80% solution.

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Step-by-step explanation:

You use the quadratic formula of ax^{2} +bx+c = 0 to get:

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The sum of these two x values turns out to be:

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