In a certain game of 50 questions- the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers- If a player attempted all questions and received a final score of 35- how many wrong answers did he give-510153

Question

In a certain game of  50 questions- the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers- If a player attempted all questions and received a final score of 35- how many wrong answers did he give-510153

Toppr Admin · Accepted Answer

Let the number of wrong answers -xA0-is xThen right answer -50-x2212-xThen according to the question-x21D2-50-x2212-x-x2212-2x-35-x21D2-x2212-3x-35-x2212-50-x21D2-x2212-3x-x2212-15-x21D2-x-x2212-15-x2212-3-5-x2234- wrong answer -5

In a certain game of $50$ questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of $35$ , how many wrong answers did he give?
$5$
$10$
$15$
$3$

Let the number of wrong answers is $x$
Then right answer $= 50 - x$
Then according to the question:
$\Rightarrow (50 - x) - 2 x = 35$
$\Rightarrow - 3 x = 35 - 50$
$\Rightarrow - 3 x = - 15$
$\Rightarrow x = \frac{- 15}{- 3} = 5$
$∴$ wrong answer $= 5$

In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of 35, how many wrong answers did he give?510153

Let the number of wrong answers is xThen right answer =50−xThen according to the question:⇒(50−x)−2x=35⇒−3x=35−50⇒−3x=−15⇒x=−15−3=5∴ wrong answer =5

In a certain game of $50$ questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of $35$ , how many wrong answers did he give?
$5$
$10$
$15$
$3$

Let the number of wrong answers is $x$
Then right answer $= 50 - x$
Then according to the question:
$\Rightarrow (50 - x) - 2 x = 35$
$\Rightarrow - 3 x = 35 - 50$
$\Rightarrow - 3 x = - 15$
$\Rightarrow x = \frac{- 15}{- 3} = 5$
$∴$ wrong answer $= 5$