Problem $10$

Given three particle$-$size distributions A$,$B and C $.$ Distributions A and B represent two granular materials available on site, whilst C indicates the material required for the construction of a filter layer.

a$)$ Determine the mixing ratio $($ R $)$ graphically and check its value analytically.

b$)$ Tabulate the resulting particle $-$ size distribution $($ P$\%)$ and compare it with the given distribution $($P$\_($C$)\%).$