Alice wins the math competition because she has the highest percentage of correct answers in the tie-breaking Algebra category with 50%.
Step-by-step explanation:
To determine the winner of the math competition, we need to look at the participants' percentages of correct answers in the Algebra category, as that is the tie-breaking criterion. The percentages given for Algebra are:
Alice: 50%
Bob: 30%
Charlie: 40%
David: 36%
With the highest percentage in Algebra, Alice is declared the winner of the math competition.
The probable question may be:
In a math competition with four participants (Alice, Bob, Charlie, and David), a total of 100 problems were solved. The distribution of correct answers is given in the table below:
Participant Algebra Problems Geometry Problems Number Theory Problems Probability Problems
Alice 25 20 15 10
Bob 15 25 20 15
Charlie 20 15 25 10
David 18 22 20 20
Now, consider an additional table showcasing the percentage of correct answers each participant achieved in each category:
Participant Algebra (%) Geometry (%) Number Theory (%) Probability (%)
Alice 50 40 30 20
Bob 30 50 40 30
Charlie 40 30 50 20
David 36 44 40 40
If the tie-breaking criterion favors the participant with the highest percentage of correct answers in Algebra, who is declared the winner of the math competition? Choose the correct option:
A) Alice
B) Bob
C) Charlie
D) David