Question

A man has a solution that is 35% iodine and 65% water, and another that is 15% iodine. How many gallons of the 15% solution should he combine with the first solution to get 2500 gallons of a 20% iodine solution?

Answer 1

Answer: There is 1875 gallons of the 15% solution should be combined with the first solution to get 2500 gallons of a 20% of iodine solution.

Explanation:

Since we have given that

In first solution , Percent of iodine solution = 35%

In second solution, Percent of iodine solution = 15%

Let the number of gallon of 15% solution be x

Let the number of gallon of 35% solution be 2500-x

According to question,

`0.15x+0.35(2500-x)=0.20* 2500\\\\0.15x+875-0.35x=500\\\\0.15x-0.35x=500-875\\\\0.20x=375\\\\x=(375)/(0.2)\\\\x=1875\ gallon.`

Hence, there is 1875 gallons of the 15% solution should be combined with the first solution to get 2500 gallons of a 20% of iodine solution.