During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 4 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 7 : 4 : 1. If Diana was awarded 85 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
4 u |
1 u |
Value |
5 |
- 4 |
- 2 |
Total value |
35 u |
16 u |
2 u |
Total score that Diana was awarded
= 35 u - 16 u - 2 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Total number of questions
= 7 u + 4 u + 1 u
= 12 u
= 12 x 7
= 84
Answer(s): 84