Free Practice Question
PS · Problem Solving
555-605
Algebra
In a school, there are 120 students enrolled in the basketball team and 80 students enrolled in the soccer team. If 30 students are enrolled in both teams, how many students are enrolled in at least one of the teams?
Answer Choices
Correct answer marked below170
Correct
B
110
C
80
D
120
E
150
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Explanation
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Official Explanation
Official
To find the number of students enrolled in at least one of the teams, we can use the principle of inclusion-exclusion. Let A be the set of students in the basketball team and B be the set of students in the soccer team. The number of students in at least one of the teams…
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Comments
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S
SaurabhFeb 27, 2025
Thank for sharing!
S
SharathJan 8, 2025
thankss
Y
YatharthFeb 26, 2025
Amazing
D
DimitriosJan 6, 2024
Any shortcuts for solving this faster?
K
KasturikaJan 10, 2024
thankss
What this question tests
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.
Details
Difficulty
555-605
Type
PS
Category