If 50% of students like soccer, 30% like basketball, and 10% like both, what per
Practice Questions
Q1
If 50% of students like soccer, 30% like basketball, and 10% like both, what percentage of students like only soccer?
40%
30%
20%
10%
Questions & Step-by-Step Solutions
If 50% of students like soccer, 30% like basketball, and 10% like both, what percentage of students like only soccer?
Step 1: Understand that 50% of students like soccer.
Step 2: Understand that 10% of students like both soccer and basketball.
Step 3: To find the percentage of students who like only soccer, subtract the percentage of students who like both from the percentage who like soccer.
Step 4: Calculate: 50% (students who like soccer) - 10% (students who like both) = 40%.
Step 5: Therefore, 40% of students like only soccer.
Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
Percentage Calculation – Calculating percentages based on given data and understanding how to isolate specific groups within a total.
