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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 40% salt and Solution B is 65% salt. She wants to obtain 110 ounces of a mixture that is 55% salt. How many ounces of each solution should she use?

Respuesta :

Answer: There are 44 ounces of Solution A and 66 ounces of Solution B.

Step-by-step explanation:

Since we have given that

Percentage of salt in solution A = 40%

Percentage of salt in solution B = 65%

Percentage of salt in mixture = 55%

Total ounces of a mixture = 110 ounces

We will use "Mixture and Allegation ":

          Solution A                       Solution B

               40%                                  65%

                                     55%

-----------------------------------------------------------------------------

   65% - 55%                 :                 55% - 40%

          10%                     :                  15%

           2                        :                   3

So, the ratio of solution A to solution B is 2:3.

So, the number of ounces of solution A she should use is given by

[tex]\dfrac{2}{5}\times 110\\\\=44\ ounces[/tex]

Number of ounces of solution B she should use is given by

[tex]\dfrac{3}{5}\times 110=66\ ounces[/tex]

Hence, there are 44 ounces of Solution A and 66 ounces of Solution B.

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