During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 4 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 10 : 3 : 2. If Jean was awarded 288 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
10 u |
3 u |
2 u |
Value |
5 |
- 4 |
- 1 |
Total value |
50 u |
12 u |
2 u |
Total score that Jean was awarded
= 50 u - 12 u - 2 u
= 36 u
36 u = 288
1 u = 288 ÷ 36 = 8
Total number of questions
= 10 u + 3 u + 2 u
= 15 u
= 15 x 10
= 150
Answer(s): 150