In a trivia game Levi answered 8 questions correctly out of 10 turns in the game. He 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. Is he correct? Justify your response

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 :

Now , he added more three questions and able to solve all of them .

So , new ratio is :

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 .