Archie attempted all the 10 questions in a quiz and scored 10 marks. Given that 8 marks were awarded for each correct answer but 6 marks were deducted for each wrong answer. how many questions did Archie answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
10
|
10 x 8
= 80 |
0 |
0 |
80 |
9
|
9 x 8
= 72 |
1 |
1 x 6
= 6 |
72 - 6
= 66 |
| 5 |
5 x 8
= 40 |
5 |
5 x 6
= 9 |
40 - 9
= 10 |
Total marks awarded if all the answers are correct
= 10 x 8
= 80
Big difference in marks deducted
= 80 - 10
= 70
Small difference in marks deducted
= 8 + 6
= 14
Number of wrong answers
= 70 ÷ 14
= 5
Number of correct answers
= 10 - 5
= 5
Answer(s): 5
