Glen, Henry, Ben and Vincent participated in a Mathematics quiz. The average number of points scored by Glen and Henry was 78. The average number of points scored by Henry and Vincent was 71.3. The average number of points scored by Glen, Henry and Vincent was 72. The average number of points scored by Ben and Vincent was 69. How many points did each of them score?
- Vincent
- Glen
- Henry
- Ben
(a)
Total score of Glen and Henry
= 78 x 2
= 156
Total score of Henry and Vincent
= 71.3 x 2
= 142.6
Total score of Glen, Henry and Vincent
= 72 x 3
= 216
Vincent's score
= 216 - 156
= 60
(b)
Glen's score
= 216 - 142.6
= 73.4
(c)
Henry's score
= 142.6 - 60
= 82.6
(d)
Total score of Ben and Vincent
= 69 x 2
= 138
Ben's score
= 138 - 60
= 78
Answer(s): (a) 60; (b) 73.4; (c) 82.6; (d) 78