Adam scores a total of 76 marks.
There are a total of 37 questions.
Every correct answer will earn 3 marks.
Every blank or wrong answer will have 4 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
|
37 |
37 x 3 = 111 |
0 |
0 |
111 - 0 = 111 |
36 |
36 x 3 = 108 |
1 |
1 x 4 = 4 |
108 - 4 = 104 |
32 |
96 |
5 |
5 x 4 = 20 |
96 - 20 = 76 |
(a)
Total score if Adam answers all the questions correctly
= 37 x 3
= 111
Total score if Adam answers one question wrongly
= 108 - 4
= 104
Big difference in total score
= 111 - 76
= 35
Small difference in total score
= 3 + 4
= 7
Number of questions answered incorrectly
= 35 ÷ 7
= 5
(b)
Number of questions answered correctly
= 37 - 5
= 32
Answer(s): (a) 5; (b) 32