During one exam, points were awarded for questions answered as shown.
|
Points per question |
Correct |
6 |
Wrong |
- 3 |
Missed |
- 1 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 7 : 4 : 1. If Erika was awarded 58 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
4 u |
1 u |
Value |
6 |
- 3 |
- 1 |
Total value |
42 u |
12 u |
1 u |
Total score that Erika was awarded
= 42 u - 12 u - 1 u
= 29 u
29 u = 58
1 u = 58 ÷ 29 = 2
Total number of questions
= 7 u + 4 u + 1 u
= 12 u
= 12 x 7
= 84
Answer(s): 84