During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 4 : 2. If Lucy was awarded 140 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
4 u |
2 u |
Value |
5 |
- 2 |
- 1 |
Total value |
45 u |
8 u |
2 u |
Total score that Lucy was awarded
= 45 u - 8 u - 2 u
= 35 u
35 u = 140
1 u = 140 ÷ 35 = 4
Total number of questions
= 9 u + 4 u + 2 u
= 15 u
= 15 x 9
= 135
Answer(s): 135