Given :
Levi answered 8 questions correctly out of 10 turns in the game.
Then answered the next three questions correctly.
He reasoned that because he added 3 to both the total questions and his correct responses, that the ratio of correct answers to total questions remained the same.
To Find :
Is he correct or not .
Solution :
Initially total number of questions are 10 and he answered 8 of them correctly .
So , ratio of correct ans to total ans is :
[tex]R_i=\dfrac{8}{10}=\dfrac{4}{5}[/tex]
Now , he added more three questions and able to solve all of them .
So , new ratio is :
[tex]R_f=\dfrac{11}{13}[/tex]
Therefore , the ratio of correctly answered and and total questions will not remain same .
Hence , this is the required solution .
So , total number of questions now are 13 and correctly answered are 11 .
