ALEXA , on her birthday, distributed 540 oranges equally among the students. If there would have been 30 students more, each would have received 3 oranges less. Find the number of students.

ALEXA , on her birthday, distributed 540 oranges equally among the stu

1.	ALEXA , on her birthday, distributed 540 oranges equally among the students. If there would have been 30 students more, each would have received 3 oranges less. Find the number of students.
Answer» -step explanation:Let no of students be xThus, no of oranges received by each STUDENT is = (540/x)If there were 30 more students no of students would be (x + 30)Now, no of oranges received by each student is (540/(x+30))According to question, (540/x) - (540/(x+ 30)) = 3(180/x) - (180/(x + 30)) = 1 [DIVIDING BOTH SIDES BY 3](180x +5400 - 180x)/x(x+30) = 15400 = x² + 30 x0 = x² + 30x - 54000 = x² - 60x + 90x - 54000 = x(x - 60) + 90(x - 60)0 = (x - 60) (x + 90)THUS, No of students cannot be negative Therefore No of students = 60THERE WERE 60 STUDENTS