There were a total of 78 questions in a school Science test. 6 marks were awarded for each correct answer and 3 marks were deducted for each incorrect answer or incomplete answer. Opal could not complete all the questions in time and left the last 15 questions blank. She scored 180 marks. How many less wrong or incomplete answers than correct answers did she answer?
Correct answers
|
Marks awarded
(x6) |
Wrong or
incomplete answers |
Marks deducted
(x3) |
Difference
|
| 63 |
378 |
15 |
45 |
333 |
| 62 |
372 |
16 |
48 |
324 |
Number of questions completed
= 78 - 15
= 63
Big difference
= 333 - 180
= 153
Small Difference
= 333 - 324
= 9
Number of wrong answers
= 153 ÷ 9
= 17
Number of wrong and incomplete answers
= 17 + 15
= 32
Number of correct answers
= 78 - 32
= 46
Number of less wrong or incomplete answers than correct answers
= 46 - 32
= 14
Answer(s): 14
