Albert attempted all the 24 questions in a quiz and scored 12 marks. Given that 9 marks were awarded for each correct answer but 8 marks were deducted for each wrong answer. how many questions did Albert answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
24
|
24 x 9
= 216 |
0 |
0 |
216 |
23
|
23 x 9
= 207 |
1 |
1 x 8
= 8 |
207 - 8
= 199 |
| 12 |
12 x 9
= 108 |
12 |
12 x 8
= 23 |
108 - 23
= 12 |
Total marks awarded if all the answers are correct
= 24 x 9
= 216
Big difference in marks deducted
= 216 - 12
= 204
Small difference in marks deducted
= 9 + 8
= 17
Number of wrong answers
= 204 ÷ 17
= 12
Number of correct answers
= 24 - 12
= 12
Answer(s): 12
