Question

6. In a class test (+3) marks are given for every correct answer and (-2) marks
are given for every incorrect answer and no marks for not attempting any
question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how
many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this
test, though she has got 7 correct answers. How many questions has she
attempted incorrectly?​

Answer 1

3x-2y=20 equation 1

12 correct ans =x and 20 total

so

3*12-2y=20

-2y=20-36

-2y=-16

y=8

she attempted 8 ans incorrectly

3*7-2y=-5

-2y=-5-21

y=13

Mohini attempted 13 ans incorrectly

Mark me branliest if it helps

Answer 2

Answer:

Marks awarded for 1 correct answer = + 3

Marks awarded for 1 wrong answer = -2

(i) Radhika scored 20 marks

Then,total marks awarded for 12 correct answers = 12 × 3 = 36

Marks awarded for incorrect answers = Total score –Total marks awarded for 12 correct= 20 –36= –16

So, the number of incorrect answers made by Radhika = (-16) ÷ (-2)= 8

(ii) Mohini scored -5 marks

Then,total marks awarded for 7 correct answers = 7 × 3 = 21

Marks awarded for incorrect answers = Total score –Total marks awarded for 12 correct

= –5 –21= –26

So, the number of incorrect answers made by Mohini = (-26) ÷ (-2)= 13