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 10 : 3 : 2. If Gillian was awarded 440 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
10 u |
3 u |
2 u |
Value |
6 |
- 4 |
- 2 |
Total value |
60 u |
12 u |
4 u |
Total score that Gillian was awarded
= 60 u - 12 u - 4 u
= 44 u
44 u = 440
1 u = 440 ÷ 44 = 10
Total number of questions
= 10 u + 3 u + 2 u
= 15 u
= 15 x 10
= 150
Answer(s): 150