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Question 3.
Let number of hours be x.
Then total temperature reduced after x hours will be -5x.
The initial temperature was 32°C.
So the temperature after x hours will be 32-5x
Here, x=8
So temperature after 8 hours will be
32-5×8
= 32-40
= -8°C
Question 4.
Let number of correct answers be x and number of incorrect answers be y.
Marks gained by correct answers will be 5x.
Marks lost by incorrect answers will be -2y.
Total marks will be 5x-2y
(i) Reema got 30 marks.
5x-2y = 30
Reema got 10 answers correct, so x = 10
5×10-2y = 30
50 - 2y = 30
2y = 20
y = 10
So Reema got 10 incorrect answers.
(ii) Rohan got -12 marks
5x-2y = -12
Rohan got 4 correct answers, so x = 4
5×4 - 2y = -12
20 - 2y = - 12
2y = 32
y = 16
So Rohan got 16 incorrect answers.
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Here's your answer...
Question 3.
Let number of hours be x.
Then total temperature reduced after x hours will be -5x.
The initial temperature was 32°C.
So the temperature after x hours will be 32-5x
Here, x=8
So temperature after 8 hours will be
32-5×8
= 32-40
= -8°C
Question 4.
Let number of correct answers be x and number of incorrect answers be y.
Marks gained by correct answers will be 5x.
Marks lost by incorrect answers will be -2y.
Total marks will be 5x-2y
(i) Reema got 30 marks.
5x-2y = 30
Reema got 10 answers correct, so x = 10
5×10-2y = 30
50 - 2y = 30
2y = 20
y = 10
So Reema got 10 incorrect answers.
(ii) Rohan got -12 marks
5x-2y = -12
Rohan got 4 correct answers, so x = 4
5×4 - 2y = -12
20 - 2y = - 12
2y = 32
y = 16
So Rohan got 16 incorrect answers.
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