Vincent, Archie, Brandon and John participated in a Social Studies quiz. The average number of points scored by Vincent and Archie was 75. The average number of points scored by Archie and John was 71.9. The average number of points scored by Vincent, Archie and John was 71. The average number of points scored by Brandon and John was 65. How many points did each of them score?

1. John
2. Vincent
3. Archie
4. Brandon

(a)
Total score of Vincent and Archie
= 75 x 2
= 150

Total score of Archie and John
= 71.9 x 2
= 143.8

Total score of Vincent, Archie and John
= 71 x 3
= 213

John's score
= 213 - 150
= 63

(b)
Vincent's score
= 213 - 143.8
= 69.2

(c)
Archie's score
= 143.8 - 63
= 80.8

(d)
Total score of Brandon and John
= 65 x 2
= 130

Brandon's score
= 130 - 63
= 67

Answer(s): (a) 63; (b) 69.2; (c) 80.8; (d) 67