Adam scores a total of 107 marks.
There are a total of 34 questions.
Every correct answer will earn 5 marks.
Every blank or wrong answer will have 2 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
|
34 |
34 x 5 = 170 |
0 |
0 |
170 - 0 = 170 |
33 |
33 x 5 = 165 |
1 |
1 x 2 = 2 |
165 - 2 = 163 |
25 |
125 |
9 |
9 x 2 = 18 |
125 - 18 = 107 |
(a)
Total score if Adam answers all the questions correctly
= 34 x 5
= 170
Total score if Adam answers one question wrongly
= 165 - 2
= 163
Big difference in total score
= 170 - 107
= 63
Small difference in total score
= 5 + 2
= 7
Number of questions answered incorrectly
= 63 ÷ 7
= 9
(b)
Number of questions answered correctly
= 34 - 9
= 25
Answer(s): (a) 9; (b) 25