During one quiz, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 10 : 4 : 1. If Lynn was awarded 459 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
10 u |
4 u |
1 u |
Value |
6 |
- 2 |
- 1 |
Total value |
60 u |
8 u |
1 u |
Total score that Lynn was awarded
= 60 u - 8 u - 1 u
= 51 u
51 u = 459
1 u = 459 ÷ 51 = 9
Total number of questions
= 10 u + 4 u + 1 u
= 15 u
= 15 x 10
= 150
Answer(s): 150