Fred, Archie, Seth and Jeremy participated in a Mathematics quiz. The average number of points scored by Fred and Archie was 76. The average number of points scored by Archie and Jeremy was 70.4. The average number of points scored by Fred, Archie and Jeremy was 70. The average number of points scored by Seth and Jeremy was 66. How many points did each of them score?

1. Jeremy
2. Fred
3. Archie
4. Seth

(a)
Total score of Fred and Archie
= 76 x 2
= 152

Total score of Archie and Jeremy
= 70.4 x 2
= 140.8

Total score of Fred, Archie and Jeremy
= 70 x 3
= 210

Jeremy's score
= 210 - 152
= 58

(b)
Fred's score
= 210 - 140.8
= 69.2

(c)
Archie's score
= 140.8 - 58
= 82.8

(d)
Total score of Seth and Jeremy
= 66 x 2
= 132

Seth's score
= 132 - 58
= 74

Answer(s): (a) 58; (b) 69.2; (c) 82.8; (d) 74