During one test, 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 7 : 3 : 2. If Elyse was awarded 104 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
3 u |
2 u |
Value |
6 |
- 4 |
- 2 |
Total value |
42 u |
12 u |
4 u |
Total score that Elyse was awarded
= 42 u - 12 u - 4 u
= 26 u
26 u = 104
1 u = 104 ÷ 26 = 4
Total number of questions
= 7 u + 3 u + 2 u
= 12 u
= 12 x 7
= 84
Answer(s): 84