There were a total of 100 questions in a school English test. 10 marks were awarded for each correct answer and 7 marks were deducted for each incorrect answer or incomplete answer. Betty could not complete all the questions in time and left the last 9 questions blank. She scored 541 marks. How many less wrong or incomplete answers than correct answers did she answer?
Correct answers
|
Marks awarded
(x10) |
Wrong or
incomplete answers |
Marks deducted
(x7) |
Difference
|
| 91 |
910 |
9 |
63 |
847 |
| 90 |
900 |
10 |
70 |
830 |
Number of questions completed
= 100 - 9
= 91
Big difference
= 847 - 541
= 306
Small Difference
= 847 - 830
= 17
Number of wrong answers
= 306 ÷ 17
= 18
Number of wrong and incomplete answers
= 18 + 9
= 27
Number of correct answers
= 100 - 27
= 73
Number of less wrong or incomplete answers than correct answers
= 73 - 27
= 46
Answer(s): 46
