There were a total of 98 questions in a school Science test. 5 marks were awarded for each correct answer and 3 marks were deducted for each incorrect answer or incomplete answer. Winnie could not complete all the questions in time and left the last 16 questions blank. She scored 170 marks. How many more correct answers than wrong or incomplete answers did she answer?
Correct answers
|
Marks awarded
(x5) |
Wrong or
incomplete answers |
Marks deducted
(x3) |
Difference
|
| 82 |
410 |
16 |
48 |
362 |
| 81 |
405 |
17 |
51 |
354 |
Number of questions completed
= 98 - 16
= 82
Big difference
= 362 - 170
= 192
Small Difference
= 362 - 354
= 8
Number of wrong answers
= 192 ÷ 8
= 24
Number of wrong and incomplete answers
= 24 + 16
= 40
Number of correct answers
= 98 - 40
= 58
Number of more correct answers than wrong or incomplete answers
= 58 - 40
= 18
Answer(s): 18
