Ben, Howard, Tom and Liam participated in a Chinese quiz. The average number of points scored by Ben and Howard was 75. The average number of points scored by Howard and Liam was 71.5. The average number of points scored by Ben, Howard and Liam was 72. The average number of points scored by Tom and Liam was 65. How many points did each of them score?
- Liam
- Ben
- Howard
- Tom
(a)
Total score of Ben and Howard
= 75 x 2
= 150
Total score of Howard and Liam
= 71.5 x 2
= 143
Total score of Ben, Howard and Liam
= 72 x 3
= 216
Liam's score
= 216 - 150
= 66
(b)
Ben's score
= 216 - 143
= 73
(c)
Howard's score
= 143 - 66
= 77
(d)
Total score of Tom and Liam
= 65 x 2
= 130
Tom's score
= 130 - 66
= 64
Answer(s): (a) 66; (b) 73; (c) 77; (d) 64