Adam scores a total of 58 marks.
There are a total of 26 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 3 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
|
26 |
26 x 5 = 130 |
0 |
0 |
130 - 0 = 130 |
25 |
25 x 5 = 125 |
1 |
1 x 3 = 3 |
125 - 3 = 122 |
17 |
85 |
9 |
9 x 3 = 27 |
85 - 27 = 58 |
(a)
Total score if Adam answers all the questions correctly
= 26 x 5
= 130
Total score if Adam answers one question wrongly
= 125 - 3
= 122
Big difference in total score
= 130 - 58
= 72
Small difference in total score
= 5 + 3
= 8
Number of questions answered incorrectly
= 72 ÷ 8
= 9
(b)
Number of questions answered correctly
= 26 - 9
= 17
Answer(s): (a) 9; (b) 17