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in a science Olympics 5 marks are given for each correct answer and -2 for each incorrect answer. Pankhurst answer all the questions and scored 26 marks , though he got 2 incorrect answer. how many questions did he answered correctly
? Related: NCERT Solutions(Part - 1) - Integers
Most Upvoted Answer
in a science Olympics 5 marks are given for each correct answer and -2...
According to the given information, Pankhurst answered all the questions in the science Olympics and scored 26 marks. However, he got 2 answers incorrect. We need to determine the number of questions he answered correctly.
Let's assume that Pankhurst answered a total of 'x' questions in the science Olympics.
Key Information:
- Pankhurst received 5 marks for each correct answer.
- Pankhurst received -2 marks for each incorrect answer.
- Pankhurst scored a total of 26 marks in the competition.
To solve this problem, we can set up an equation based on the given information.
Equation:
5x - 2(2) = 26
Explanation:
- 5x represents the total marks Pankhurst would receive for answering all the questions correctly.
- 2(2) represents the total marks Pankhurst would lose for answering 2 questions incorrectly.
- 26 represents the total score Pankhurst obtained in the science Olympics.
Simplifying the equation:
5x - 4 = 26
Adding 4 to both sides of the equation:
5x = 30
Dividing both sides by 5:
x = 6
Therefore, Pankhurst answered a total of 6 questions in the science Olympics.
To determine the number of questions he answered correctly, we subtract the 2 incorrect answers from the total questions answered:
Correct answers = Total questions - Incorrect answers
Correct answers = 6 - 2
Correct answers = 4
Hence, Pankhurst answered 4 questions correctly in the science Olympics.
Let's assume that Pankhurst answered a total of 'x' questions in the science Olympics.
Key Information:
- Pankhurst received 5 marks for each correct answer.
- Pankhurst received -2 marks for each incorrect answer.
- Pankhurst scored a total of 26 marks in the competition.
To solve this problem, we can set up an equation based on the given information.
Equation:
5x - 2(2) = 26
Explanation:
- 5x represents the total marks Pankhurst would receive for answering all the questions correctly.
- 2(2) represents the total marks Pankhurst would lose for answering 2 questions incorrectly.
- 26 represents the total score Pankhurst obtained in the science Olympics.
Simplifying the equation:
5x - 4 = 26
Adding 4 to both sides of the equation:
5x = 30
Dividing both sides by 5:
x = 6
Therefore, Pankhurst answered a total of 6 questions in the science Olympics.
To determine the number of questions he answered correctly, we subtract the 2 incorrect answers from the total questions answered:
Correct answers = Total questions - Incorrect answers
Correct answers = 6 - 2
Correct answers = 4
Hence, Pankhurst answered 4 questions correctly in the science Olympics.
Community Answer
in a science Olympics 5 marks are given for each correct answer and -2...
26×5 =130
-2×2 =-4
130-4 =126
-2×2 =-4
130-4 =126
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in a science Olympics 5 marks are given for each correct answer and -2 for each incorrect answer. Pankhurst answer all the questions and scored 26 marks , though he got 2 incorrect answer. how many questions did he answered correctly Related: NCERT Solutions(Part - 1) - Integers?
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