During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
8 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 7 : 3 : 2. If Tiffany was awarded 270 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
3 u |
2 u |
Value |
8 |
- 3 |
- 1 |
Total value |
56 u |
9 u |
2 u |
Total score that Tiffany was awarded
= 56 u - 9 u - 2 u
= 45 u
45 u = 270
1 u = 270 ÷ 45 = 6
Total number of questions
= 7 u + 3 u + 2 u
= 12 u
= 12 x 7
= 84
Answer(s): 84