Ben, Owen, Gabriel and Ian participated in a Mathematics quiz. The average number of points scored by Ben and Owen was 77. The average number of points scored by Owen and Ian was 70.5. The average number of points scored by Ben, Owen and Ian was 73. The average number of points scored by Gabriel and Ian was 66. How many points did each of them score?
- Ian
- Ben
- Owen
- Gabriel
(a)
Total score of Ben and Owen
= 77 x 2
= 154
Total score of Owen and Ian
= 70.5 x 2
= 141
Total score of Ben, Owen and Ian
= 73 x 3
= 219
Ian's score
= 219 - 154
= 65
(b)
Ben's score
= 219 - 141
= 78
(c)
Owen's score
= 141 - 65
= 76
(d)
Total score of Gabriel and Ian
= 66 x 2
= 132
Gabriel's score
= 132 - 65
= 67
Answer(s): (a) 65; (b) 78; (c) 76; (d) 67