There were 45 questions in a quiz. Brandon answered all the questions and scored 206 marks. For each correct answer, 6 marks was given. For each wrong answer, 2 marks was deducted. How many questions did Brandon answer correctly?
Correct
answers |
Scores earned |
Wrong
answers |
Scores deducted |
Total scores |
| 45 |
45 x 6 =
270 |
0 |
0 |
270 - 0 =
270 |
| 44 |
44 x 6 =
264 |
1 |
1 x 2 =
2 |
264 - 2 =
262 |
37
|
37 x 6 =
222 |
8
|
8 x 2 =
16 |
222 - 16 =
206 |
Total score received if Brandon answered all questions correctly
= 45 x 6
= 270
Big difference in the score between the full score and Brandon's score
= 270 - 206
= 64
Small difference in the score between one correct answer and one wrong answer
= 6 + 2
= 8
Number of questions that Brandon answered wrongly
= 64 ÷ 8
= 8
Number of questions that Brandon answered correctly
= 45 - 8
= 37
Answer(s): 37
