Dylan attempted all the 27 questions in a quiz and scored 10 marks. Given that 4 marks were awarded for each correct answer but 3 marks were deducted for each wrong answer. how many questions did Dylan answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
27
|
27 x 4
= 108 |
0 |
0 |
108 |
26
|
26 x 4
= 104 |
1 |
1 x 3
= 3 |
104 - 3
= 101 |
| 13 |
13 x 4
= 52 |
14 |
14 x 3
= 26 |
52 - 26
= 10 |
Total marks awarded if all the answers are correct
= 27 x 4
= 108
Big difference in marks deducted
= 108 - 10
= 98
Small difference in marks deducted
= 4 + 3
= 7
Number of wrong answers
= 98 ÷ 7
= 14
Number of correct answers
= 27 - 14
= 13
Answer(s): 13
