Question 1070925
let x = the number of ounces of 25% alcohol solution.


let y = the number of ounces of 11% of the 30% solution.


your formula becomes:


.25 * x + .30y = .26 * (x + y)


solve for x to get x = 4y


this means that the number of ounces of 25% alcohol solution must be 4 times the number of ounces of 11% of the 30% solution.


for example:


assume you have 100 ounces of 30% solution.


11% of that would be 11 ounces of 30% solution.


this means that y is equal to 11, because y represents 11% of the 30% solution.


4 times that would be 44 ounces of 25% solution.


if you mix 44 ounces of 25% solution with 11 ounces of 30% solution, you should get a solution that is 26% alcohol.


44 * .25 + 11 * .30 = 14.3 ounces of alcohol.


44 + 11 = 55 ounces of solution.


14.3 / 55 = .26 = 26%


this means that the 55 ounces of combined solution is 26% alcohol.