During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 3 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 7 : 2 : 1. If Victoria was awarded 270 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
2 u |
1 u |
Value |
5 |
- 3 |
- 2 |
Total value |
35 u |
6 u |
2 u |
Total score that Victoria was awarded
= 35 u - 6 u - 2 u
= 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
Total number of questions
= 7 u + 2 u + 1 u
= 10 u
= 10 x 7
= 70
Answer(s): 70