During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
8 |
Wrong |
- 4 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 2 : 1. If Natalie was awarded 124 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
2 u |
1 u |
Value |
8 |
- 4 |
- 2 |
Total value |
72 u |
8 u |
2 u |
Total score that Natalie was awarded
= 72 u - 8 u - 2 u
= 62 u
62 u = 124
1 u = 124 ÷ 62 = 2
Total number of questions
= 9 u + 2 u + 1 u
= 12 u
= 12 x 9
= 108
Answer(s): 108