There were a total of 96 questions in a school English test. 9 marks were awarded for each correct answer and 6 marks were deducted for each incorrect answer or incomplete answer. Jean could not complete all the questions in time and left the last 7 questions blank. She scored 459 marks. How many more correct answers than wrong or incomplete answers did she answer?
Correct answers
|
Marks awarded
(x9) |
Wrong or
incomplete answers |
Marks deducted
(x6) |
Difference
|
| 89 |
801 |
7 |
42 |
759 |
| 88 |
792 |
8 |
48 |
744 |
Number of questions completed
= 96 - 7
= 89
Big difference
= 759 - 459
= 300
Small Difference
= 759 - 744
= 15
Number of wrong answers
= 300 ÷ 15
= 20
Number of wrong and incomplete answers
= 20 + 7
= 27
Number of correct answers
= 96 - 27
= 69
Number of more correct answers than wrong or incomplete answers
= 69 - 27
= 42
Answer(s): 42
