Answer:
She should add 30 ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
Step-by-step explanation:
Let X be ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
We have the equation
[tex]\frac{(X*0.12)+(40*0.05}{X+40} =0.08[/tex] when 8% acidity level is reached.
Solving the equation we have
X*0.12+2=0.08(X+40)=0.08X+3.2
That is 0.12X-0.08X=3.2-2=1.2
Finally 0.04X=1.2 and
X=30
