In a trivia game, Levi answered 8 questions correctly out of 10 turns in the game. Then, he answered the next 3 questions correctly. He reasoned that because he added 3 the both the total questions and his correct responses, that the ratio of correct answer to total questions remained the same. Is he correct? Justify the answers

He is not correct as the ratios are;

First ratio is 4:5,

Second ratio 11:13

Which are different values

Step-by-step explanation:

The number of correct questions Levi answered = 8 questions

The number of questions in the game = 10

The ratio of correctly answered questions to total number of questions in the first 10 question is given as follows

Correctly answered questions : Total number of questions = 8:10

Which can be simplified as 8:10 = 8/2:10/2 = 4:5

The number of correct questions Levi answered in the next three turns = 3 questions

The total number of questions attempted by Levi becomes 10 + 3 = 13 questions

The total number of correct answers given by Levi = 8 + 3 = 11 correct answers

The new ratio of correctly answered questions to total number of questions is therefore;

New correctly answered questions : Total number of questions = 11:13.

Therefore, the ratios do not remain the same as 4:5 ≠ 11:13.

14.29%

step-by-step explanation: