Adam scores a total of 73 marks.
There are a total of 37 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
|
37 |
37 x 5 = 185 |
0 |
0 |
185 - 0 = 185 |
36 |
36 x 5 = 180 |
1 |
1 x 2 = 2 |
180 - 2 = 178 |
21 |
105 |
16 |
16 x 2 = 32 |
105 - 32 = 73 |
(a)
Total score if Adam answers all the questions correctly
= 37 x 5
= 185
Total score if Adam answers one question wrongly
= 180 - 2
= 178
Big difference in total score
= 185 - 73
= 112
Small difference in total score
= 5 + 2
= 7
Number of questions answered incorrectly
= 112 ÷ 7
= 16
(b)
Number of questions answered correctly
= 37 - 16
= 21
Answer(s): (a) 16; (b) 21