There were a total of 94 questions in a school English test. 6 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer or incomplete answer. Sarah could not complete all the questions in time and left the last 19 questions blank. She scored 284 marks. How many more correct answers than wrong or incomplete answers did she answer?
Correct answers
|
Marks awarded (x6) |
Wrong or incomplete answers |
Marks deducted (x2) |
Difference
|
75 |
450 |
19 |
38 |
412 |
74 |
444 |
20 |
40 |
404 |
Number of questions completed
= 94 - 19
= 75
Big difference
= 412 - 284
= 128
Small Difference
= 412 - 404
= 8
Number of wrong answers
= 128 ÷ 8
= 16
Number of wrong and incomplete answers
= 16 + 19
= 35
Number of correct answers
= 94 - 35
= 59
Number of more correct answers than wrong or incomplete answers
= 59 - 35
= 24
Answer(s): 24