Will attempted all the 29 questions in a quiz and scored 20 marks. Given that 6 marks were awarded for each correct answer but 5 marks were deducted for each wrong answer. how many questions did Will answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
29
|
29 x 6
= 174 |
0 |
0 |
174 |
28
|
28 x 6
= 168 |
1 |
1 x 5
= 5 |
168 - 5
= 163 |
| 15 |
15 x 6
= 90 |
14 |
14 x 5
= 28 |
90 - 28
= 20 |
Total marks awarded if all the answers are correct
= 29 x 6
= 174
Big difference in marks deducted
= 174 - 20
= 154
Small difference in marks deducted
= 6 + 5
= 11
Number of wrong answers
= 154 ÷ 11
= 14
Number of correct answers
= 29 - 14
= 15
Answer(s): 15
