During one test, points were awarded for questions answered as shown.
|
Points per question |
Correct |
5 |
Wrong |
- 2 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 7 : 4 : 1. If Penelope was awarded 208 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
4 u |
1 u |
Value |
5 |
- 2 |
- 1 |
Total value |
35 u |
8 u |
1 u |
Total score that Penelope was awarded
= 35 u - 8 u - 1 u
= 26 u
26 u = 208
1 u = 208 ÷ 26 = 8
Total number of questions
= 7 u + 4 u + 1 u
= 12 u
= 12 x 7
= 84
Answer(s): 84