During one quiz, points were awarded for questions answered as shown.
|
Points per question |
Correct |
7 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 3 : 1. If Winnie was awarded 276 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
3 u |
1 u |
Value |
7 |
- 3 |
- 1 |
Total value |
56 u |
9 u |
1 u |
Total score that Winnie was awarded
= 56 u - 9 u - 1 u
= 46 u
46 u = 276
1 u = 276 ÷ 46 = 6
Total number of questions
= 8 u + 3 u + 1 u
= 12 u
= 12 x 8
= 96
Answer(s): 96