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 10 : 4 : 1. If Opal was awarded 156 points, how many questions are there in all?
|
Correct |
Wrong |
Missed |
Number |
10 u |
4 u |
1 u |
Value |
7 |
- 4 |
- 2 |
Total value |
70 u |
16 u |
2 u |
Total score that Opal was awarded
= 70 u - 16 u - 2 u
= 52 u
52 u = 156
1 u = 156 ÷ 52 = 3
Total number of questions
= 10 u + 4 u + 1 u
= 15 u
= 15 x 10
= 150
Answer(s): 150