During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 3 : 2. If Vanessa was awarded 414 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
3 u |
2 u |
Value |
6 |
- 2 |
- 1 |
Total value |
54 u |
6 u |
2 u |
Total score that Vanessa was awarded
= 54 u - 6 u - 2 u
= 46 u
46 u = 414
1 u = 414 ÷ 46 = 9
Total number of questions
= 9 u + 3 u + 2 u
= 14 u
= 14 x 9
= 126
Answer(s): 126