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Class Scheduling Enormous State University's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 80 students, and each section of Applied Calculus has 70 students. The department will offer a total of 150 sections in a semester, and 11,200 students would like to take a math course. How many sections of each course should the department offer in order to fill all sections and accommodate all of the students

Answer :

Tundexi

Answer:

70 section of Finite math and 80 section of Applied calculus

Step-by-step explanation:

As in each section, finite math has 80 student and applied calculus has 70 students

80x + 70Y = 11,200................(i)

There are 150 sections in a semester

x + y = 150..................................(ii)

Multiply equation (ii) by -70

-70x - 70y = 10,500

Add equation (i) and equation (iii)

80x + 70Y = 11,200

-70x - 70y = 10,500

10x            = 700

x = 700/100

x= 70

Substitute x in equation (ii)

x + y = 150

70 + y = 150

y = 150 - 70

y = 80

Hence, 70 section of finite math and 80 section of applied calculus should the department offer in order to fill all sections and accommodate all of the students.

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