During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 3 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 3 : 2. If Olivia was awarded 70 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
3 u |
2 u |
Value |
6 |
- 3 |
- 2 |
Total value |
48 u |
9 u |
4 u |
Total score that Olivia was awarded
= 48 u - 9 u - 4 u
= 35 u
35 u = 70
1 u = 70 ÷ 35 = 2
Total number of questions
= 8 u + 3 u + 2 u
= 13 u
= 13 x 8
= 104
Answer(s): 104