There were a total of 100 questions in a school English test. 5 marks were awarded for each correct answer and 3 marks were deducted for each incorrect answer or incomplete answer. Raeann could not complete all the questions in time and left the last 13 questions blank. She scored 292 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
|
87 |
435 |
13 |
39 |
396 |
86 |
430 |
14 |
42 |
388 |
Number of questions completed
= 100 - 13
= 87
Big difference
= 396 - 292
= 104
Small Difference
= 396 - 388
= 8
Number of wrong answers
= 104 ÷ 8
= 13
Number of wrong and incomplete answers
= 13 + 13
= 26
Number of correct answers
= 100 - 26
= 74
Number of more correct answers than wrong or incomplete answers
= 74 - 26
= 48
Answer(s): 48