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A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 175 ounces of a mixture that is 20% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?

Respuesta :

Answer: There is 100 ounces of 35% salt solution and 100 ounces of water.

Step-by-step explanation:

Since we have given that

Percent of salt in a solution = 35%

Percent of salt in a mixture = 20%

Number of ounces of a mixture = 175 ounces

We need to find the number of ounces of water and salt as well as .

We would use "Mixture and Allegation":

      Salt                       Water

      35%                           0%

                       20%

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

20% - 0%          :                35% - 20%

   20%              :                     15%

   4                    :                      3

So, Ratio of salt and water in the mixture is 4 : 3.

So, Number of ounces of salt in the mixture is given  by

[tex]\dfrac{4}{7}\times 175\\\\=100\ ounces[/tex]

Number of ounces of water in the mixture is given by

[tex]\dfrac{3}{7}\times 175\\\\=75\ ounces[/tex]

Hence, there is 100 ounces of 35% salt solution and 100 ounces of water.

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