There were 20 questions in a quiz. Paul answered all the questions and scored 52 marks. For each correct answer, 5 marks was given. For each wrong answer, 3 marks was deducted. How many questions did Paul answer correctly?
Correct
answers |
Scores earned |
Wrong
answers |
Scores deducted |
Total scores |
| 20 |
20 x 5 =
100 |
0 |
0 |
100 - 0 =
100 |
| 19 |
19 x 5 =
95 |
1 |
1 x 3 =
3 |
95 - 3 =
92 |
14
|
14 x 5 =
70 |
6
|
6 x 3 =
18 |
70 - 18 =
52 |
Total score received if Paul answered all questions correctly
= 20 x 5
= 100
Big difference in the score between the full score and Paul's score
= 100 - 52
= 48
Small difference in the score between one correct answer and one wrong answer
= 5 + 3
= 8
Number of questions that Paul answered wrongly
= 48 ÷ 8
= 6
Number of questions that Paul answered correctly
= 20 - 6
= 14
Answer(s): 14
