If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in b
Practice Questions
Q1
If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in only sports?
50%
40%
30%
20%
Questions & Step-by-Step Solutions
If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in only sports?
Step 1: Understand that 60% of students are enrolled in sports.
Step 2: Understand that 10% of students are enrolled in both sports and arts.
Step 3: To find the percentage of students enrolled in only sports, subtract the percentage of students enrolled in both from the percentage enrolled in sports.
Step 4: Calculate: 60% (students in sports) - 10% (students in both) = 50%.
Step 5: Therefore, 50% of students are enrolled in only sports.
Set Theory – Understanding the relationships between different groups (students in sports, arts, and both) using Venn diagrams or basic set operations.
Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.
