In a test (+5) marks are given for every correct answer and (- 2) marks are given for every in correct answer.
(i) Radhika answered all the questions and scored 30 marks though she got 10 correct answers.
(ii) Jay also answered all the questions and scored (- 12 ) marks though he got 4 correct answers. How many incorrect answers had they attempted
WHO WILL GIVE THIS ANSWER I WILL MARK HIM AS A BRAINLIEST
AND PLS GIVE THE PROPER ANSWER OTHERWISE I WILL REPORT HIS ANSWER
Answers
Step-by-step explanation:
Let there were total x questions .
Radhika answered all the question .
So Radhika answered x questions .
So no. of questions incorrectly answered by her are x-10
So she got 10 correct answers and x-10 wrong answers .
As +5 are provided for every correct answer and -2 for every wrong answer , the total marks she will get are --
5(10) + (-2)(x-10) = 50 - 2x +20 = 70 - 2x
Now , the total marks she got are 30
So, 70 - 2x =30
70 - 30 = 2x
40 = 2x
20 = x
So, total no. of questions she answered are 20.
So, she got (20-10) wrong answeres i.e. 10 wrong answers .
Let the total no. of question for Jay be x
He got 4 correct questions
So he got x-4 incorrect questions
Total marks he got --
5(4) + (-2)(x-4) = 20 - 2x + 8 = 28 -2x
Now he got a total of -12 marks
28 - 2x = -12
Solving this equations we get x =20
So he answered 20 questions in total .
He got (20-4) wrong answers i.e. 16 wrong answers.
Please mark as brainlist
i)Marks for correct answer= +5
Marks for incorrect answers= -2
Total marks= 30
Number of correct answers= 10
Marks she got for correct answers= 10*5= 50
Let x be number of incorrect answers Radhika got,
30=50+-2*x
30-50= -2*x
-20=-2x
-20/-2 = x
10= x
Radhika got 10 answers as incorrect.
ii)Total marks Jay scored= -12
Number of correct answers= 4
Marks he scored for correct answers= 4*5= 20
Let the number of incorrect answers be x,
-12= 20-2*x
-12-20= -2x
-32= -2x
-32/-2 = x
16 = x
Jay attempted 16 answers as incorrect.
Please mark me as the Brainliest