Question

n any quarter the college needs to make available 8 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 48 Given these constraints how many sections of each course should the college make available each quarter to meet demand

Answer 1

Math = 24

English = 16

Philosophy = 8

Answer 2

math = 24

English = 16

Philosophy = 8

Step-by-step explanation:

Given that the college needs to make 8 less English courses available compared to math In each quarter

Let English = x , math = x + 8 ( in each quarter )

philosophy demand by student in each quarter = 1/2*x = x/2

limit of all three courses in a classroom = 48

i.e. x + (x+ 8 ) + x/2 = 48

= 2x + x/2 = 48 - 8

= 2x + x/2 = 40 ∴ 5x / 2 = 40

hence : x = 80 / 5 = 16

The number of sections of each course that the college should make available in each quarter to meet demand

math = x + 8 = 16 + 8 = 24

English = x = 16

Philosophy = x/2 = 16 / 2 = 8