Ivan attempted all the 17 questions in a quiz and scored 12 marks. Given that 6 marks were awarded for each correct answer but 3 marks were deducted for each wrong answer. how many questions did Ivan answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
17
|
17 x 6
= 102 |
0 |
0 |
102 |
16
|
16 x 6
= 96 |
1 |
1 x 3
= 3 |
96 - 3
= 93 |
| 7 |
7 x 6
= 42 |
10 |
10 x 3
= 16 |
42 - 16
= 12 |
Total marks awarded if all the answers are correct
= 17 x 6
= 102
Big difference in marks deducted
= 102 - 12
= 90
Small difference in marks deducted
= 6 + 3
= 9
Number of wrong answers
= 90 ÷ 9
= 10
Number of correct answers
= 17 - 10
= 7
Answer(s): 7
