<s>[INST] The product from the final business
administration examination will be worth $$ 40\%$$ of the total grade. If Luis received $$ 88\%$$ on the final product from the final exam , your total grade for the course is at least $$ 80 \%$$. Considering that the remaining $$ 60\%$$ of the final grade is based on all the other marks , find

a ) The minimum mark that Luis needs on the remaining marks so that the minimum grade requirement for passing the course (80%) can be met.

b ) With the mark obtained in the examination, Luis was given the highest distinction. If this means that he needs not only to meet the minimum grade of 80% but also a higher distinction requirement of at least a grade of 90%, what is the minimum mark that Luis needs on the remaining marks so that the higher distinction requirement can be met?[/INST]