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
7
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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
G
GauravMay 28
initially picked 85 by adding the both twice lol, tricky wording on 'either'
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