During a science experiment, Alma created a 44% alcohol solution by mixing 6 fluid oz of a 64% alcohol solution with a certain amount of a 4% alcohol solution. How many fluid oz of the 44% solution did Alma create?
Alcohol equation is: (6 x 0.64) + (X x 0.04) = Y x 0.44
Total fluid equation is: 6 + X = Y
Solve for X and Y
Answer is Y fl oz
Call the number of ounces of the 6% solution, x......and we have.....
.64(6) + .04(x) = .44(x + 6) simplify
3.84 + .04x = .44x + 2.64 subtract 2.64, .04x from both sides
1.2 = .4x divide both sides by .4
3 = x
So.....the number of ounces of 44% solution = (3 + 6) = 9