During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 4 : 2. If Winnie was awarded 240 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
4 u |
2 u |
Value |
6 |
- 3 |
- 1 |
Total value |
54 u |
12 u |
2 u |
Total score that Winnie was awarded
= 54 u - 12 u - 2 u
= 40 u
40 u = 240
1 u = 240 ÷ 40 = 6
Total number of questions
= 9 u + 4 u + 2 u
= 15 u
= 15 x 9
= 135
Answer(s): 135