During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 3 : 1. If Natalie was awarded 99 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
3 u |
1 u |
Value |
5 |
- 2 |
- 1 |
Total value |
40 u |
6 u |
1 u |
Total score that Natalie was awarded
= 40 u - 6 u - 1 u
= 33 u
33 u = 99
1 u = 99 ÷ 33 = 3
Total number of questions
= 8 u + 3 u + 1 u
= 12 u
= 12 x 8
= 96
Answer(s): 96