There were 45 questions in a quiz. Caden answered all the questions and scored 169 marks. For each correct answer, 5 marks was given. For each wrong answer, 2 marks was deducted. How many questions did Caden 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 |
37
|
37 x 5 = 185 |
8
|
8 x 2 = 16 |
185 - 16 = 169 |
Total score received if Caden answered all questions correctly
= 45 x 5
= 225
Big difference in the score between the full score and Caden's score
= 225 - 169
= 56
Small difference in the score between one correct answer and one wrong answer
= 5 + 2
= 7
Number of questions that Caden answered wrongly
= 56 ÷ 7
= 8
Number of questions that Caden answered correctly
= 45 - 8
= 37
Answer(s): 37