iPad 22:24 100%--+ a webassign.net Computer Method:s section (S) Need Help? Read

Question

iPad 22:24 100%--+ a webassign.net Computer Method:s section (S) Need Help? Read It Watch It -3 points WaneFMAC7 4.3.004 My Notes 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 46 sections total, there are 5,300 students who would like to take a course, and there are 62 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 Need Help?Read It Submit Answer ave Progress Practice Another Version +/3 points WaneFMAC7 4.3.006 My Notes Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaeton) Latin music in a certain country amounted to $21 million. Pop/rock music brought in twice as much as the other two categories combined and $8 million more than tropical music. How much revenue was earned from digital sales in each of the

Explanation / Answer

Let x sections of Ancient History, y sections of Medieval History, z sections of Modern History should be offered by the chairperson.

Then by given conditions we have,

x+y+z = 46............(i)

100x+50y+200z = 5300

i.e., 2x+y+4z = 106............(ii)

x+y+2z = 62.............(iii)

Subtracting (i) from (iii) we get, z = 16

Putting this value in (i) and (ii) we get,

x+y = 30............(iv)

2x+y = 42...........(v)

Subtracting (iv) from (v) we get, x = 12

Putting this value in (iv) we get, y = 18

Therefore, 12 sections of Ancient History, 18 sections of Medieval History, 16 sections of Modern History should be offered by the chairperson.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.