There were 45 questions in a quiz. Glen answered all the questions and scored 176 marks. For each correct answer, 5 marks was given. For each wrong answer, 2 marks was deducted. How many questions did Glen answer correctly?
Correct
answers |
Scores earned |
Wrong
answers |
Scores deducted |
Total scores |
| 45 |
45 x 5 =
225 |
0 |
0 |
225 - 0 =
225 |
| 44 |
44 x 5 =
220 |
1 |
1 x 2 =
2 |
220 - 2 =
218 |
38
|
38 x 5 =
190 |
7
|
7 x 2 =
14 |
190 - 14 =
176 |
Total score received if Glen answered all questions correctly
= 45 x 5
= 225
Big difference in the score between the full score and Glen's score
= 225 - 176
= 49
Small difference in the score between one correct answer and one wrong answer
= 5 + 2
= 7
Number of questions that Glen answered wrongly
= 49 ÷ 7
= 7
Number of questions that Glen answered correctly
= 45 - 7
= 38
Answer(s): 38
