Xavier, Asher, Ian and Fred participated in a Science quiz. The average number of points scored by Xavier and Asher was 76. The average number of points scored by Asher and Fred was 70.7. The average number of points scored by Xavier, Asher and Fred was 71. The average number of points scored by Ian and Fred was 68. How many points did each of them score?

1. Fred
2. Xavier
3. Asher
4. Ian

(a)
Total score of Xavier and Asher
= 76 x 2
= 152

Total score of Asher and Fred
= 70.7 x 2
= 141.4

Total score of Xavier, Asher and Fred
= 71 x 3
= 213

Fred's score
= 213 - 152
= 61

(b)
Xavier's score
= 213 - 141.4
= 71.6

(c)
Asher's score
= 141.4 - 61
= 80.4

(d)
Total score of Ian and Fred
= 68 x 2
= 136

Ian's score
= 136 - 61
= 75

Answer(s): (a) 61; (b) 71.6; (c) 80.4; (d) 75