Will, Ethan, Oscar and Fred participated in a Mathematics quiz. The average number of points scored by Will and Ethan was 76. The average number of points scored by Ethan and Fred was 70.7. The average number of points scored by Will, Ethan and Fred was 73. The average number of points scored by Oscar and Fred was 68. How many points did each of them score?
- Fred
- Will
- Ethan
- Oscar
(a)
Total score of Will and Ethan
= 76 x 2
= 152
Total score of Ethan and Fred
= 70.7 x 2
= 141.4
Total score of Will, Ethan and Fred
= 73 x 3
= 219
Fred's score
= 219 - 152
= 67
(b)
Will's score
= 219 - 141.4
= 77.6
(c)
Ethan's score
= 141.4 - 67
= 74.4
(d)
Total score of Oscar and Fred
= 68 x 2
= 136
Oscar's score
= 136 - 67
= 69
Answer(s): (a) 67; (b) 77.6; (c) 74.4; (d) 69