During one test, 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 : 3 : 2. If Esther was awarded 336 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
3 u |
2 u |
Value |
8 |
- 4 |
- 2 |
Total value |
72 u |
12 u |
4 u |
Total score that Esther was awarded
= 72 u - 12 u - 4 u
= 56 u
56 u = 336
1 u = 336 ÷ 56 = 6
Total number of questions
= 9 u + 3 u + 2 u
= 14 u
= 14 x 9
= 126
Answer(s): 126