Luke, Gabriel, Henry and Owen participated in a Science quiz. The average number of points scored by Luke and Gabriel was 79. The average number of points scored by Gabriel and Owen was 71.2. The average number of points scored by Luke, Gabriel and Owen was 70. The average number of points scored by Henry and Owen was 69. How many points did each of them score?
- Owen
- Luke
- Gabriel
- Henry
(a)
Total score of Luke and Gabriel
= 79 x 2
= 158
Total score of Gabriel and Owen
= 71.2 x 2
= 142.4
Total score of Luke, Gabriel and Owen
= 70 x 3
= 210
Owen's score
= 210 - 158
= 52
(b)
Luke's score
= 210 - 142.4
= 67.6
(c)
Gabriel's score
= 142.4 - 52
= 90.4
(d)
Total score of Henry and Owen
= 69 x 2
= 138
Henry's score
= 138 - 52
= 86
Answer(s): (a) 52; (b) 67.6; (c) 90.4; (d) 86