There were 20 questions in a quiz. Vincent answered all the questions and scored 38 marks. For each correct answer, 4 marks was given. For each wrong answer, 2 marks was deducted. How many questions did Vincent answer correctly?
Correct
answers |
Scores earned |
Wrong
answers |
Scores deducted |
Total scores |
| 20 |
20 x 4 =
80 |
0 |
0 |
80 - 0 =
80 |
| 19 |
19 x 4 =
76 |
1 |
1 x 2 =
2 |
76 - 2 =
74 |
13
|
13 x 4 =
52 |
7
|
7 x 2 =
14 |
52 - 14 =
38 |
Total score received if Vincent answered all questions correctly
= 20 x 4
= 80
Big difference in the score between the full score and Vincent's score
= 80 - 38
= 42
Small difference in the score between one correct answer and one wrong answer
= 4 + 2
= 6
Number of questions that Vincent answered wrongly
= 42 ÷ 6
= 7
Number of questions that Vincent answered correctly
= 20 - 7
= 13
Answer(s): 13
