Let 'x' be the number of points she scored in the first game
Then the second game she scored 6x more points
She scored a total of 35 points in the two games we have:
x + 6x = 35
6x + x = 7x
7x = 35
x = 35/7
x = 5
In the second game Sue scored 6*x = 6*5 = 30 points.