Class 10 Exam > Class 10 Questions > Ranjana wants to distribute 540 oranges among...
Start Learning for Free
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.?
Most Upvoted Answer
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●●●●
Community Answer
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.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
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.?
Question Description
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.?.
Solutions 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.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 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.? defined & explained in the simplest way possible. Besides giving the explanation of
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.?, a detailed solution 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.? has been provided alongside types of 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.? theory, EduRev gives you an
ample number of questions to practice 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.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup