Adam scores a total of 71 marks.
There are a total of 38 questions.
Every correct answer will earn 4 marks.
Every blank or wrong answer will have 5 marks deducted.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned
|
Number of incorrect answers |
Marks deducted
|
Total score
|
38 |
38 x 4 = 152 |
0 |
0 |
152 - 0 = 152 |
37 |
37 x 4 = 148 |
1 |
1 x 5 = 5 |
148 - 5 = 143 |
29 |
116 |
9 |
9 x 5 = 45 |
116 - 45 = 71 |
(a)
Total score if Adam answers all the questions correctly
= 38 x 4
= 152
Total score if Adam answers one question wrongly
= 148 - 5
= 143
Big difference in total score
= 152 - 71
= 81
Small difference in total score
= 4 + 5
= 9
Number of questions answered incorrectly
= 81 ÷ 9
= 9
(b)
Number of questions answered correctly
= 38 - 9
= 29
Answer(s): (a) 9; (b) 29