During one quiz, points were awarded for questions answered as shown.
|
Points per question |
Correct |
7 |
Wrong |
- 4 |
Missed |
- 2 |
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 7 : 4 : 2. If Elyse was awarded 290 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
7 u |
4 u |
2 u |
Value |
7 |
- 4 |
- 2 |
Total value |
49 u |
16 u |
4 u |
Total score that Elyse was awarded
= 49 u - 16 u - 4 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Total number of questions
= 7 u + 4 u + 2 u
= 13 u
= 13 x 7
= 91
Answer(s): 91