300 oranges are distributed equally among a certain number of students. Had there been 10 more students, each would have received one orange less. Find the number of students.
Answers
Answer:
Hence, the total number of students in the class= 50
Step-by-step explanation:
Number of students = x
Total apples = 300
Apple for each =300/x
Present number of students=x+10
Apples for each = 300/x+10
1 apples less
300/x-300/x+10=1
Final equation = x²+10x-3000=0
x²+60x-50x-3000=0
x(x+60)- 50(x+60)=0
(x+60)(x-50)=0
x+60=0,. x=-60
x-50=0
x= 50
Therefore,X= -60 cannot be taken as Number of students are always positive.
Hence, the total number of students in the class= 50
Answer:
Step-by-step explanation:
Solution :-
Let the number of students be x.
According to the Question,
⇒ 300/x - 300/x + 10 = 1
⇒ 300(x + 10 - x/(x + 10)x = 1
⇒ 300 × 10 = x² + 10x
⇒ x² + 10x - 3000 = 0
⇒ x² + 60x - 50x - 3000 = 0
⇒ x(x + 60) - 50(x + 60) = 0
⇒ (x + 60) (x - 50) = 0
⇒ x = - 60 or 50 (Neglecting negative sign)
⇒ x = 50
Hence, the number of students is 50.