Nick, Albert, Ivan and Peter participated in a Mathematics quiz. The average number of points scored by Nick and Albert was 77. The average number of points scored by Albert and Peter was 70.8. The average number of points scored by Nick, Albert and Peter was 71. The average number of points scored by Ivan and Peter was 65. How many points did each of them score?
- Peter
- Nick
- Albert
- Ivan
(a)
Total score of Nick and Albert
= 77 x 2
= 154
Total score of Albert and Peter
= 70.8 x 2
= 141.6
Total score of Nick, Albert and Peter
= 71 x 3
= 213
Peter's score
= 213 - 154
= 59
(b)
Nick's score
= 213 - 141.6
= 71.4
(c)
Albert's score
= 141.6 - 59
= 82.6
(d)
Total score of Ivan and Peter
= 65 x 2
= 130
Ivan's score
= 130 - 59
= 71
Answer(s): (a) 59; (b) 71.4; (c) 82.6; (d) 71