Free Practice Question
PS · Problem Solving
555-605
Algebra
In a certain school, 60% of the students are enrolled in mathematics, and 40% of the students are enrolled in science. If 25% of the students are enrolled in both subjects, what percentage of the students are enrolled in either mathematics or science?
Answer Choices
Correct answer marked below75%
Correct
B
65%
C
85%
D
55%
E
70%
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Explanation
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Official Explanation
Official
To find the percentage of students enrolled in either mathematics or science, we can use the principle of inclusion-exclusion. Let M be the percentage of students enrolled in mathematics (60%), S be the percentage of students enrolled in science (40%), and B be the percentage of students enrolled in both subjects (25%). The formula is:…
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Comments
6
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M
MohamedMar 11, 2025
Good question
M
MiaApr 2, 2025
Amazing
A
ArinJan 12, 2025
Great!
H
HasanMar 7, 2025
Love how you solved this
M
MacroMar 3, 2025
finally understood this
N
NavyaMay 16, 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