During one quiz, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 1. If Marion was awarded 234 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
4 u |
1 u |
Value |
6 |
- 2 |
- 1 |
Total value |
48 u |
8 u |
1 u |
Total score that Marion was awarded
= 48 u - 8 u - 1 u
= 39 u
39 u = 234
1 u = 234 ÷ 39 = 6
Total number of questions
= 8 u + 4 u + 1 u
= 13 u
= 13 x 8
= 104
Answer(s): 104