The sieve analysis for Soils A$,$ B and C are given below. To obtain a more representative

sample for further geotechnical testing, a ternary blend mixture was created using

$50\%$:$25\%$:$25\%$ of A$,$ B$,$ and C soils, respectively.

a$)$ If a sieve analysis is conducted on the mixture using the same set of sieves as

shown in the table, compute the mass retained $($as a percentage$)$ and cumulative

percent passing in each sieve $($Show each individual column$).$

b$)$ What would be the uniformity coefficient and the coefficient of gradation of the

mixture?