The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 5,100 students who would like to take a course, and there are 60 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History Medieval History Modern History sections sections sections
The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 5,100 students who would like to take a course, and there are 60 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History Medieval History Modern History sections sections sections
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Section9.5: Counting Principles
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![The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the
chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections
total, there are 5,100 students who would like to take a course, and there are 60 professors to teach them. Sections of Ancient
History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200
students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only
one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that
they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example
2.] (Assume each section has the maximum number of students allowed.)
Ancient History
Medieval History
Modern History
sections
sections
sections](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aa5e7b2-0ffd-4b63-8fbc-fc140c8f3b96%2F12d86a98-ad5e-463f-896f-84d0a99b6826%2Fpiwsda_processed.png&w=3840&q=75)
Transcribed Image Text:The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the
chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections
total, there are 5,100 students who would like to take a course, and there are 60 professors to teach them. Sections of Ancient
History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200
students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only
one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that
they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example
2.] (Assume each section has the maximum number of students allowed.)
Ancient History
Medieval History
Modern History
sections
sections
sections
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