How many grams of active ingredient do you need to add 200ml 5% solution to fortify it to 7%

To determine the number of grams of active ingredient needed to fortify a 200ml 5% solution to 7%, we can use the following formula:

(G1 x V1) + (G2 x V2) = G3 x V3

Where:
G1 = grams of active ingredient in the starting solution
V1 = volume of the starting solution
G2 = grams of active ingredient to be added
V2 = volume of the active ingredient to be added
G3 = grams of active ingredient in the final solution
V3 = total volume of the final solution

Let's denote the unknown variable, G2, as 'x'.

(5 x 200) + (x x 200) = 7 x 200
1000 + 200x = 1400

Subtract 1000 from both sides:
200x = 400

Divide both sides by 200:
x = 2

Therefore, you would need to add 2 grams of the active ingredient to the 200ml 5% solution to fortify it to 7%.