During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 3 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 3 : 1. If Linda was awarded 215 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
3 u |
1 u |
Value |
6 |
- 3 |
- 2 |
Total value |
54 u |
9 u |
2 u |
Total score that Linda was awarded
= 54 u - 9 u - 2 u
= 43 u
43 u = 215
1 u = 215 ÷ 43 = 5
Total number of questions
= 9 u + 3 u + 1 u
= 13 u
= 13 x 9
= 117
Answer(s): 117