Question

An examination paper consists of 40 questions 5 marks are give for each correct answer 3 marks are dedicated for each incorrect answer. kenny answered all 40 questions. his total score for the examination was 56 marks. find out the number of questions he answered correctly and incorrectly​

Answer 1

Answer:

200

Step-by-step explanation:

kenny answered 12 and half correct and 29 question in correct

Answer 2

Answer:

no of questions answered correctly = 22

no of questions answered incorrectly = 18

Step-by-step explanation:

let , x be the no of questions answered correctly.

y be the no of questions answered incorrectly.

since, Kenny answerd all 40 questions we can deduce that,

x + y = 40 ---- 1

For every correct answer 5 marks are awarded and for every incorrect answer 3 marks are deducted.

Knowing this and the fact that Kenny scored 56

=> 5x - 3y = 56 ---- 2

Applying elimination method on equation 1 and 2,

multiplying equation 1 by 3,

5x - 3y = 56

3x + 3y = 120

=> 8x = 176

=> x = 22

lastly ,

y = 40 - x = 40 - 22 = 18

thus

x = 22 and y = 18

verification: 5x - 3y = 5(22) - 3(18) = 110 - 54 = 56 = RHS