During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
8 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 3 : 1. If Linda was awarded 270 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
3 u |
1 u |
Value |
8 |
- 3 |
- 1 |
Total value |
64 u |
9 u |
1 u |
Total score that Linda was awarded
= 64 u - 9 u - 1 u
= 54 u
54 u = 270
1 u = 270 ÷ 54 = 5
Total number of questions
= 8 u + 3 u + 1 u
= 12 u
= 12 x 8
= 96
Answer(s): 96