Why are our books filled with unnecessary short cut formulas?

A short cut formula like these add nothing to the understanding of concepts, also overloads children with pointless burden as they have to memorize by parroting. How its need to be solved? P° Solvent = 0.850 bar Mass of solute = 0.5g Mass of solvent = 39g Molar mass of benzene = 78g/mol P Solution = 0.845 bar Molar mass of solute (g/mol) = ? P Solution = χ Solvent P° Solvent χ Solvent = n Solvent / (n Solvent + n Solute ) Solvent: g -----> mol Conversion factor = 1 mol/ 78 g 39g * 1 mol/78 g = 39/78 mol No. of moles of solvent = 39/78 mol Solute: g -----> mole Conversion factor = 1 mol/x g 0.5g * 1 mol/x g = 0.5/x mol No. of moles of solute = 0.5/x mol Putting these values in the equation P Solution = χ Solvent P° Solvent we get following equation (((39/78)/(39/78 + 0.5/x))*0.850) -0.845 = 0 Solving it through python programming: Ans: [169.000000000000] Also why overload students with so much of large calculations (in...