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.
Step-by-step 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,
[tex]0.15x+0.35(2500-x)=0.20\times 2500\\\\0.15x+875-0.35x=500\\\\0.15x-0.35x=500-875\\\\0.20x=375\\\\x=\frac{375}{0.2}\\\\x=1875\ gallon.[/tex]
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.
