During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
7 |
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 Jen was awarded 252 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
8 u |
4 u |
2 u |
Value |
7 |
- 3 |
- 1 |
Total value |
56 u |
12 u |
2 u |
Total score that Jen was awarded
= 56 u - 12 u - 2 u
= 42 u
42 u = 252
1 u = 252 ÷ 42 = 6
Total number of questions
= 8 u + 4 u + 2 u
= 14 u
= 14 x 8
= 112
Answer(s): 112