During one quiz, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Jane was awarded 78 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
4 u |
2 u |
Value |
5 |
- 3 |
- 1 |
Total value |
40 u |
12 u |
2 u |
Total score that Jane was awarded
= 40 u - 12 u - 2 u
= 26 u
26 u = 78
1 u = 78 ÷ 26 = 3
Total number of questions
= 8 u + 4 u + 2 u
= 14 u
= 14 x 8
= 112
Answer(s): 112