During one quiz, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 4 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Xylia was awarded 252 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
4 u |
2 u |
Value |
6 |
- 4 |
- 2 |
Total value |
48 u |
16 u |
4 u |
Total score that Xylia was awarded
= 48 u - 16 u - 4 u
= 28 u
28 u = 252
1 u = 252 ÷ 28 = 9
Total number of questions
= 8 u + 4 u + 2 u
= 14 u
= 14 x 8
= 112
Answer(s): 112