During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
8 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 1. If Jean was awarded 102 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
4 u |
1 u |
Value |
8 |
- 3 |
- 1 |
Total value |
64 u |
12 u |
1 u |
Total score that Jean was awarded
= 64 u - 12 u - 1 u
= 51 u
51 u = 102
1 u = 102 ÷ 51 = 2
Total number of questions
= 8 u + 4 u + 1 u
= 13 u
= 13 x 8
= 104
Answer(s): 104