The junior class at a high school has 425 students. Looking at registration for next fall, a principle looks at the “core” disciplines of math, language arts, social studies, and science. Knowing that each student must take at least one “core” discipline, she finds: 264 students are taking math, 323 language arts, 243 social studies, 241 science 213 are taking math and language arts, 143 math and social studies, 144 math and science, 111 language arts and social studies, 90 language arts and science, 60 social studies and science 50 students are taking math, language arts, and social studies, 32 math, language arts, and science, 26 math, social studies, and science, and 22 language arts, social studies, and science. How many students will be in all four “core” disciplines?
The junior class at a high school has 425 students. Looking at registration for next fall, a principle looks at the “core” disciplines of math, language arts, social studies, and science. Knowing that each student must take at least one “core” discipline, she finds: 264 students are taking math, 323 language arts, 243 social studies, 241 science 213 are taking math and language arts, 143 math and social studies, 144 math and science, 111 language arts and social studies, 90 language arts and science, 60 social studies and science 50 students are taking math, language arts, and social studies, 32 math, language arts, and science, 26 math, social studies, and science, and 22 language arts, social studies, and science. How many students will be in all four “core” disciplines?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The junior class at a high school has 425 students. Looking at registration for next fall, a principle looks
at the “core” disciplines of math, language arts, social studies, and science. Knowing that each student must take at
least one “core” discipline, she finds:
264 students are taking math, 323 language arts, 243 social studies, 241 science
213 are taking math and language arts, 143 math and social studies, 144 math and science, 111 language
arts and social studies, 90 language arts and science, 60 social studies and science
50 students are taking math, language arts, and social studies, 32 math, language arts, and science, 26 math,
social studies, and science, and 22 language arts, social studies, and science.
How many students will be in all four “core” disciplines?
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