In a competitive exam, each correct answer gets 3 points and each wrong answer gets 1 point dedicated students score 210 from 110 questions. How many answer were wrong?

In a competitive exam, each correct answer gets 3 points and each wrong answer gets 1 point dedicated students score 210 from 110 questions. How many answer were wrong?

Explanation

Total points scored = 210

Total questions = 110

Points for each correct answer = 3

Points for each wrong answer = 1

Let's say the number of correct answers is x.

Then, the number of wrong answers is (110 - x).

The total points scored can be represented as: 3x + (110 - x) = 210

Simplify the equation: 3x + 110 - x = 210

Combine like terms: 2x + 110 = 210

Subtract 110 from both sides: 2x = 100

Divide both sides by 2: x = 50

So, the number of correct answers is 50.

Now, let's find the number of wrong answers:

Number of wrong answers = Total questions - Number of correct answers

= 110 - 50

= 60