Question

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?

Answer 1

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

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

`(4)/(7)* 175\\\\=100\ ounces`

Number of ounces of water in the mixture is given by

`(3)/(7)* 175\\\\=75\ ounces`

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