Final answer:
The total mass of the solution can be calculated by dividing the mass of component A by its mass fraction.
Step-by-step explanation:
To find the total mass of the solution, we need to consider the mass of component A and its mass fraction. The mass fraction of A is given as 0.67, which means A accounts for 67% of the solution. If the mass of A is 53 grams, we can calculate the total mass of the solution by dividing the mass of A by its mass fraction:
Total mass of the solution = Mass of A / Mass fraction of A
Total mass of the solution = 53 grams / 0.67
Total mass of the solution = 79.1 grams (Option A)