The volumes are additive in this case. However, when you mix two unlike solvents, volumes are not always strictly additive. With respect to the second half of your question, my general approach is the following:
Identify the acid and the base and write a chemical reaction.
Convert the concentrations into amounts in moles, mmoles, or µmoles
Treat this problem as a limiting reagent problem to calculate final amounts from initial amounts
If the problem asks for it, convert the final amounts into final concentrations.