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Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.?
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Ranjana wants to distribute 540 oranges among some students. if 30 stu...
Total orange =540 initial student=x initial orange fOr 1 student = n nx= 540(n-3) (x+30) =540 nx = (n-3) ( x+30) nx = nx +30n +30x -90 30n = 3x - 90 x = 30n-90/3 x= 10n-30':' nx = 540n(10n-30)= 540 n(n-3)=54 n^2-3n-54=0 n^2 -9n -6n -54=0 (n-9) (n+6)=0n-9 = 0 or n+6 =0 n= 9 or n = -6 x= 540/9 x=60 :': no. of student =60 students••••••••••hope it'll be helped u●●●●
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Ranjana wants to distribute 540 oranges among some students. if 30 stu...
Problem: 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.
Solution:
Let the total number of students be 'x'.
Therefore, each student will get = 540/x oranges.
If there were 30 more students, total number of students would be (x + 30).
Therefore, each student would get = 540/(x + 30) oranges.
It is given that if there were 30 more students, each student would get 3 less oranges.
So, we can form the following equation:
540/x - 3 = 540/(x + 30)
Simplifying the above equation, we get:
540(x + 30) - 3x(x + 30) = 540x
Distributing and solving for x, we get:
x = 90
Therefore, the total number of students is 90.
Answer: The number of students is 90.
Solution:
Let the total number of students be 'x'.
Therefore, each student will get = 540/x oranges.
If there were 30 more students, total number of students would be (x + 30).
Therefore, each student would get = 540/(x + 30) oranges.
It is given that if there were 30 more students, each student would get 3 less oranges.
So, we can form the following equation:
540/x - 3 = 540/(x + 30)
Simplifying the above equation, we get:
540(x + 30) - 3x(x + 30) = 540x
Distributing and solving for x, we get:
x = 90
Therefore, the total number of students is 90.
Answer: The number of students is 90.
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Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.?
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Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.?.
Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ranjana wants to distribute 540 oranges among some students. if 30 students were more each would get 3 oranges less .find the no. of students.?.
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