what I Know
75 points to advance
10 events
first 5 events had scored average of 6.8
Next 3 average 7.2
what does the next 2 average score need to be to have a score of 75

6.8x5=34
7.2x3=21.6
this tells me how many points he got in the first five and the next 3

34+21.6=55.6

75-55.6=19.4
This is what score he needs to get in 2 events
19.4÷2=9.7
He needs to average 9.7 in the 2 games