White vinegar is available as a 5% acetic acid solution and a 10% solution, by volume. how many millilitres of each solution must be added to make 100ml of a 7%solution?

The answer to your question is 60 ml of solution 5% and 40 ml of solution 10 %

Explanation:

Data

acetic acid = 5% = concentration 1

acetic acid 2 = 10% = concentration 2

final solution = 7 % =

final volume = 100 ml

Process

1.- Write an equation of the process

x = volume of solution 5%

100 - x = volume of solution 10%

Final concentration x final volume = concentration 1 x volume 1 + concentration 2 x volume 2

      0.07(100) = 0.05x + 0.10(100 - x)

2.- Solve for x

                  7 = 0.05x + 10 - 0.1x

                 7 - 10 = 0.05 - 0.1 x

                   - 3 = -0.05 x

                     x = -3/-0.05

                     x = 60 ml of solution 5%

3.- Calculate the volume of solution 10%

     Volume of 10% = 100 - 60

     Volume of 10% = 40 ml        

the answer is d. 74.02