Browse · MATH
Printjmc
prealgebra senior
Problem
The circle graph below represents the opinions of students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal
What percent of the students chose Basketball?
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal
What percent of the students chose Basketball?
Solution
Since there are students, the percent of students who chose each sport is the same as the number of students who chose it. Let be the number of students who chose Basketball. From the first statement, the number of students who chose Other is From the third statement, the number of students who chose Football is Combining this with the second statement, students chose Hockey. Since a total of students were interviewed, we have Solving, we get so chose Basketball.
Final answer
30\%