Question

Ranjana wants to distribute 540 oranges among some students. If 30 students were

more each would get 3 oranges less. Find the number of students.

Answer 1

Let the no. Of students = x

Oranges distributed to each student = 540/x

No. Of students increased = 30

According to the given question,

New equation = 540/x+30

Again according to the given question,

540/x-540/x+3 = 3

540(1/x-1/x+30) = 3

540(x+30-x)/x2+30x = 3

180×30/x2+30x = 1

5400 = x2+30x

x2+30x-5400 = 0

x2+90x-30x-5400 = 0

(x-30)(x+90) = 0

x = 30, x= -90(rejected)

No. Of students = 30×6= 180.