There were 50 questions in a quiz. Cody answered all the questions and scored 183 marks. For each correct answer, 6 marks was given. For each wrong answer, 3 marks was deducted. How many questions did Cody answer correctly?
Correct
answers |
Scores earned |
Wrong
answers |
Scores deducted |
Total scores |
| 50 |
50 x 6 =
300 |
0 |
0 |
300 - 0 =
300 |
| 49 |
49 x 6 =
294 |
1 |
1 x 3 =
3 |
294 - 3 =
291 |
37
|
37 x 6 =
222 |
13
|
13 x 3 =
39 |
222 - 39 =
183 |
Total score received if Cody answered all questions correctly
= 50 x 6
= 300
Big difference in the score between the full score and Cody's score
= 300 - 183
= 117
Small difference in the score between one correct answer and one wrong answer
= 6 + 3
= 9
Number of questions that Cody answered wrongly
= 117 ÷ 9
= 13
Number of questions that Cody answered correctly
= 50 - 13
= 37
Answer(s): 37
