Gabriel attempted all the 30 questions in a quiz and scored 20 marks. Given that 6 marks were awarded for each correct answer but 4 marks were deducted for each wrong answer. how many questions did Gabriel answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
30
|
30 x 6
= 180 |
0 |
0 |
180 |
29
|
29 x 6
= 174 |
1 |
1 x 4
= 4 |
174 - 4
= 170 |
| 14 |
14 x 6
= 84 |
16 |
16 x 4
= 29 |
84 - 29
= 20 |
Total marks awarded if all the answers are correct
= 30 x 6
= 180
Big difference in marks deducted
= 180 - 20
= 160
Small difference in marks deducted
= 6 + 4
= 10
Number of wrong answers
= 160 ÷ 10
= 16
Number of correct answers
= 30 - 16
= 14
Answer(s): 14
