Students at the Hong Kong University write anexam. An average mark is

computed for 100 students in business, an average is computed for 300 students in liberal arts, and

an average is computed for 200 students in science. The average of these three averages is 82%. The

overall average for the 600 students is 86%. Also, the average for the 300 students in business and

science is 4 marks higher than the average for the students in liberal arts. Determine the averages

for each group of students.