During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
8 |
Wrong |
- 4 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 4 : 2. If Abi was awarded 416 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
4 u |
2 u |
Value |
8 |
- 4 |
- 2 |
Total value |
72 u |
16 u |
4 u |
Total score that Abi was awarded
= 72 u - 16 u - 4 u
= 52 u
52 u = 416
1 u = 416 ÷ 52 = 8
Total number of questions
= 9 u + 4 u + 2 u
= 15 u
= 15 x 9
= 135
Answer(s): 135