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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 20% salt and Solution B is 45% salt. She wants to obtain 40 ounces of a mixture that is 35% salt. How many ounces of each solution should she use?

Respuesta :

sqdancefan

Answer:

  • 24 ounces of solution B
  • 16 ounces of solution A

Step-by-step explanation:

The largest contributor of salt to the mix is the 45% solution (B), so we'll let our variable (b) represent the quantity of that. The total amount desired is 40 ounces, so the quantity of solution A is (40-b) ounces. Then the amount of salt in the mix is ...

  0.45b +0.20(40-b) = 0.35(40)

Simplifying and subtracting 0.20(40), we get ...

  0.25b = 0.15(40)

  b = 40(.15/.25) = 24

  (40-b) = 16

The scientist should use 24 ounces of Solution B and 16 ounces of Solution A.

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