Brandon attempted all the 10 questions in a quiz and scored 15 marks. Given that 6 marks were awarded for each correct answer but 3 marks were deducted for each wrong answer. how many questions did Brandon answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
10
|
10 x 6
= 60 |
0 |
0 |
60 |
9
|
9 x 6
= 54 |
1 |
1 x 3
= 3 |
54 - 3
= 51 |
| 5 |
5 x 6
= 30 |
5 |
5 x 3
= 9 |
30 - 9
= 15 |
Total marks awarded if all the answers are correct
= 10 x 6
= 60
Big difference in marks deducted
= 60 - 15
= 45
Small difference in marks deducted
= 6 + 3
= 9
Number of wrong answers
= 45 ÷ 9
= 5
Number of correct answers
= 10 - 5
= 5
Answer(s): 5
