To determine who got the most questions correct, we need to compare the fractions or percentages of correct answers each student got. However, the comparison between James and Rebecca depends on the total number of problems each had, which is not provided. Here's what we know:
- James: 3/4 or 75%
- William: 85%
- Rebecca: 1/3 of what James got (since James got 3 times as many problems correct as she did), which would be 1/3 * 75% = 25%
- Katelyn: 7/10 or 70%
So, based on the percentages, William got the highest percentage of problems correct with 85%.
However, if we're talking about the absolute number of problems correctly answered, we can't conclusively determine who got the most questions correct without knowing the total number of questions each student had on their quiz. For instance, if James had 100 questions on his quiz and Rebecca had 10, then James would have answered more questions correctly than Rebecca even though his percentage is lower.