There were 35 questions in a quiz. Jack answered all the questions and scored 119 marks. For each correct answer, 5 marks was given. For each wrong answer, 3 marks was deducted. How many questions did Jack answer correctly?
Correct
answers |
Scores earned |
Wrong
answers |
Scores deducted |
Total scores |
| 35 |
35 x 5 =
175 |
0 |
0 |
175 - 0 =
175 |
| 34 |
34 x 5 =
170 |
1 |
1 x 3 =
3 |
170 - 3 =
167 |
28
|
28 x 5 =
140 |
7
|
7 x 3 =
21 |
140 - 21 =
119 |
Total score received if Jack answered all questions correctly
= 35 x 5
= 175
Big difference in the score between the full score and Jack's score
= 175 - 119
= 56
Small difference in the score between one correct answer and one wrong answer
= 5 + 3
= 8
Number of questions that Jack answered wrongly
= 56 ÷ 8
= 7
Number of questions that Jack answered correctly
= 35 - 7
= 28
Answer(s): 28
