During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
7 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 9 : 2 : 1. If Zoe was awarded 464 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
9 u |
2 u |
1 u |
Value |
7 |
- 2 |
- 1 |
Total value |
63 u |
4 u |
1 u |
Total score that Zoe was awarded
= 63 u - 4 u - 1 u
= 58 u
58 u = 464
1 u = 464 ÷ 58 = 8
Total number of questions
= 9 u + 2 u + 1 u
= 12 u
= 12 x 9
= 108
Answer(s): 108